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Effective Dynamics of Local Observables for Extended Fermi Gases in the
High-Density Regime
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2024
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Luca Fresta
Marcello Porta
Benjamin Schlein
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Quantum fluctuations of many-body dynamics around the GrossâPitaevskii equation
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2024
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Cristina Caraci
Jakob Oldenburg
Benjamin Schlein
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PDF
Chat
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Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature
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2024
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Florian Haberberger
Christian Hainzl
Benjamin Schlein
Arnaud Triay
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The Euclidean $\phi^{4}_{2}$ theory as a limit of an interacting Bose gas
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2024
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JĂŒrg Fröhlich
Antti Knowles
Benjamin Schlein
Vedran Sohinger
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PDF
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Introduction to the special collection: International congress on mathematical physics 2021
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2023
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Anton Alekseev
Benjamin Schlein
Herbert Spohn
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PDF
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Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential
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2023
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Niels Benedikter
Marcello Porta
Benjamin Schlein
Robert Seiringer
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Correlation energy of weakly interacting Fermi gases
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2023
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Benjamin Schlein
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Dynamics of mean-field bosons at positive temperature
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2023
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Andreas Deuchert
Marco Caporaletti
Benjamin Schlein
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PDF
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The Excitation Spectrum of Two-Dimensional Bose Gases in the GrossâPitaevskii Regime
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2023
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Cristina Caraci
Serena Cenatiempo
Benjamin Schlein
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PDF
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Effective Dynamics of Extended Fermi Gases in the High-Density Regime
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2023
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Luca Fresta
Marcello Porta
Benjamin Schlein
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+
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Quantum Fluctuations of Many-Body Dynamics around the Gross-Pitaevskii Equation
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2023
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Cristina Caraci
Jakob Oldenburg
Benjamin Schlein
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Third order corrections to the ground state energy of a Bose gas in the Gross-Pitaevskii regime
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2023
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Cristina Caraci
Alessandro Olgiati
Diane Saint Aubin
Benjamin Schlein
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PDF
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A Second Order Upper Bound for the Ground State Energy of a Hard-Sphere Gas in the GrossâPitaevskii Regime
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2022
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Giulia Basti
Serena Cenatiempo
Alessandro Olgiati
Giulio Pasqualetti
Benjamin Schlein
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PDF
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Interacting Loop Ensembles and Bose Gases
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2022
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JĂŒrg Fröhlich
Antti Knowles
Benjamin Schlein
Vedran Sohinger
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PDF
Chat
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Bose gases in the GrossâPitaevskii limit: A survey of some rigorous results
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2022
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Benjamin Schlein
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PDF
Chat
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Excitation spectrum of Bose gases beyond the GrossâPitaevskii regime
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2022
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Christian Brennecke
Marco Caporaletti
Benjamin Schlein
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PDF
Chat
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BoseâEinstein Condensation with Optimal Rate for Trapped Bosons in the GrossâPitaevskii Regime
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2022
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Christian Brennecke
Benjamin Schlein
Severin Schraven
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PDF
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Ground state energy of a Bose gas in the GrossâPitaevskii regime
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2022
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Giulia Basti
Serena Cenatiempo
Alessandro Olgiati
Giulio Pasqualetti
Benjamin Schlein
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PDF
Chat
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Bogoliubov Theory for Trapped Bosons in the GrossâPitaevskii Regime
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2022
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Christian Brennecke
Benjamin Schlein
Severin Schraven
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A second order upper bound for the ground state energy of a hard-sphere gas in the Gross-Pitaevskii regime
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2022
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Giulia Basti
Serena Cenatiempo
Alessandro Olgiati
Giulio Pasqualetti
Benjamin Schlein
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Bogoliubov Theory in the Gross-Pitaevskii Limit: a Simplified Approach
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2022
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Christian Hainzl
Benjamin Schlein
Arnaud Triay
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Effective Dynamics of Extended Fermi Gases in the High-Density Regime
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2022
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Luca Fresta
Marcello Porta
Benjamin Schlein
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+
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Dynamics of mean-field bosons at positive temperature
|
2022
|
Marco Caporaletti
Andreas Deuchert
Benjamin Schlein
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+
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The Euclidean $Ï^4_2$ theory as a limit of an interacting Bose gas
|
2022
|
JĂŒrg Fröhlich
Antti Knowles
Benjamin Schlein
Vedran Sohinger
|
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+
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Bose gases in the Gross-Pitaevskii limit: a survey of some rigorous results
|
2022
|
Benjamin Schlein
|
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+
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The excitation spectrum of two dimensional Bose gases in the Gross-Pitaevskii regime
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2022
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Cristina Caraci
Serena Cenatiempo
Benjamin Schlein
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Upper bound for the ground state energy of a dilute Bose gas of hard spheres
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2022
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Giulia Basti
Serena Cenatiempo
Alessandro Giuliani
Alessandro Olgiati
Giulio Pasqualetti
Benjamin Schlein
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PDF
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Bogoliubov theory in the Gross-Pitaevskii limit: a simplified approach
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2022
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Christian Hainzl
Benjamin Schlein
Arnaud Triay
|
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PDF
Chat
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LandauâPekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron
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2021
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Nikolai Leopold
David Mitrouskas
Simone Rademacher
Benjamin Schlein
Robert Seiringer
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PDF
Chat
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Bosonization of Fermionic Many-Body Dynamics
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2021
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Niels Benedikter
Phan ThĂ nh Nam
Marcello Porta
Benjamin Schlein
Robert Seiringer
|
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PDF
Chat
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The LandauâPekar equations : adiabatic theorem and accuracy
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2021
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Nikolai Leopold
Simone Rademacher
Benjamin Schlein
Robert Seiringer
|
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The mean-field limit of quantum Bose gases at positive temperature
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2021
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JĂŒrg Fröhlich
Antti Knowles
Benjamin Schlein
Vedran Sohinger
|
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PDF
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BoseâEinstein Condensation for Two Dimensional Bosons in the GrossâPitaevskii Regime
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2021
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Cristina Caraci
Serena Cenatiempo
Benjamin Schlein
|
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PDF
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Correlation energy of a weakly interacting Fermi gas
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2021
|
Niels Benedikter
Phan ThĂ nh Nam
Marcello Porta
Benjamin Schlein
Robert Seiringer
|
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PDF
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A Large Deviation Principle in Many-Body Quantum Dynamics
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2021
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Kay Kirkpatrick
Simone Rademacher
Benjamin Schlein
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Bosonization of Fermionic Many-Body Dynamics
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2021
|
Niels Benedikter
Phan ThĂ nh Nam
Marcello Porta
Benjamin Schlein
Robert Seiringer
|
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+
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A new second order upper bound for the ground state energy of dilute Bose gases
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2021
|
Giulia Basti
Serena Cenatiempo
Benjamin Schlein
|
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+
PDF
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A new second-order upper bound for the ground state energy of dilute Bose gases
|
2021
|
Giulia Basti
Serena Cenatiempo
Benjamin Schlein
|
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+
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Bogoliubov Theory for Trapped Bosons in the Gross-Pitaevskii Regime
|
2021
|
Christian Brennecke
Benjamin Schlein
Severin Schraven
|
|
+
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Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential
|
2021
|
Niels Benedikter
Marcello Porta
Benjamin Schlein
Robert Seiringer
|
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+
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A new second order upper bound for the ground state energy of dilute Bose gases
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2021
|
Giulia Basti
Serena Cenatiempo
Benjamin Schlein
|
|
+
PDF
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BoseâEinstein Condensation Beyond the GrossâPitaevskii Regime
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2020
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Arka Adhikari
Christian Brennecke
Benjamin Schlein
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PDF
Chat
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A Path-Integral Analysis of Interacting Bose Gases and Loop Gases
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2020
|
JĂŒrg Fröhlich
Antti Knowles
Benjamin Schlein
Vedran Sohinger
|
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PDF
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The excitation spectrum of Bose gases interacting through singular potentials
|
2020
|
Chiara Boccato
Christian Brennecke
Serena Cenatiempo
Benjamin Schlein
|
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The mean-field limit of quantum Bose gases at positive temperature
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2020
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JĂŒrg Fröhlich
Antti Knowles
Benjamin Schlein
Vedran Sohinger
|
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+
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Interacting loop ensembles and Bose gases
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2020
|
JĂŒrg Fröhlich
Antti Knowles
Benjamin Schlein
Vedran Sohinger
|
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+
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Bose-Einstein condensation for two dimensional bosons in the Gross-Pitaevskii regime
|
2020
|
Cristina Caraci
Serena Cenatiempo
Benjamin Schlein
|
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+
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The mean-field limit of quantum Bose gases at positive temperature
|
2020
|
JĂŒrg Fröhlich
Antti Knowles
Benjamin Schlein
Vedran Sohinger
|
|
+
PDF
Chat
|
Optimal Rate for BoseâEinstein Condensation in the GrossâPitaevskii Regime
|
2019
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Chiara Boccato
Christian Brennecke
Serena Cenatiempo
Benjamin Schlein
|
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PDF
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Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime
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2019
|
Niels Benedikter
Phan ThĂ nh Nam
Marcello Porta
Benjamin Schlein
Robert Seiringer
|
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A microscopic derivation of time-dependent correlation functions of the 1D cubic nonlinear Schrödinger equation
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2019
|
JĂŒrg Fröhlich
Antti Knowles
Benjamin Schlein
Vedran Sohinger
|
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+
PDF
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Central limit theorem for Bose-Einstein condensates
|
2019
|
Simone Rademacher
Benjamin Schlein
|
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+
PDF
Chat
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BOGOLIUBOV EXCITATION SPECTRUM FOR BOSEâEINSTEIN CONDENSATES
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2019
|
Benjamin Schlein
|
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+
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The Landau-Pekar equations: Adiabatic theorem and accuracy
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2019
|
Nikolai Leopold
Simone Rademacher
Benjamin Schlein
Robert Seiringer
|
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+
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Mini-Workshop: Gibbs Measures for Nonlinear Dispersive Equations
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2019
|
Giuseppe Genovese
Benjamin Schlein
Vedran Sohinger
|
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+
PDF
Chat
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GrossâPitaevskii dynamics for BoseâEinstein condensates
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2019
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Christian Brennecke
Benjamin Schlein
|
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+
PDF
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Bogoliubov theory in the GrossâPitaevskii limit
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2019
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Chiara Boccato
Christian Brennecke
Serena Cenatiempo
Benjamin Schlein
|
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Reflection Positivity
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2018
|
Arthur Jaffe
KarlâHermann Neeb
Gestur Ălafsson
Benjamin Schlein
|
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PDF
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Fluctuations of $N$-particle quantum dynamics around the nonlinear Schrödinger equation
|
2018
|
Christian Brennecke
Phan ThĂ nh Nam
Marcin NapiĂłrkowski
Benjamin Schlein
|
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+
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Bogoliubov excitation spectrum for Bose-Einstein condensates
|
2018
|
Benjamin Schlein
|
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+
PDF
Chat
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From Hartree Dynamics to the Relativistic Vlasov Equation
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2018
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Elia Dietler
Simone Rademacher
Benjamin Schlein
|
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+
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Bogoliubov Theory in the Gross-Pitaevskii Limit
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2018
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Chiara Boccato
Christian Brennecke
Serena Cenatiempo
Benjamin Schlein
|
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GrossâPitaevskii Evolution for BoseâEinstein Condensates
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2018
|
Benjamin Schlein
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Bogoliubov Theory in the Gross-Pitaevskii Limit
|
2018
|
Chiara Boccato
Christian Brennecke
Serena Cenatiempo
Benjamin Schlein
|
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+
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Bogoliubov excitation spectrum for Bose-Einstein condensates
|
2018
|
Benjamin Schlein
|
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PDF
Chat
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Complete BoseâEinstein Condensation in the GrossâPitaevskii Regime
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2017
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Chiara Boccato
Christian Brennecke
Serena Cenatiempo
Benjamin Schlein
|
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Fluctuations of $N$-particle quantum dynamics around the nonlinear Schr\"odinger equation
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2017
|
Christian Brennecke
Phan ThĂ nh Nam
Marcin NapiĂłrkowski
Benjamin Schlein
|
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PDF
Chat
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Gibbs Measures of Nonlinear Schrödinger Equations as Limits of Many-Body Quantum States in Dimensions $${d \leqslant 3}$$ d â©œ 3
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2017
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JĂŒrg Fröhlich
Antti Knowles
Benjamin Schlein
Vedran Sohinger
|
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+
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The excitation spectrum of Bose gases interacting through singular potentials
|
2017
|
Chiara Boccato
Christian Brennecke
Serena Cenatiempo
Benjamin Schlein
|
|
+
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A microscopic derivation of time-dependent correlation functions of the $1D$ cubic nonlinear Schr\"{o}dinger equation
|
2017
|
JĂŒrg Fröhlich
Antti Knowles
Benjamin Schlein
Vedran Sohinger
|
|
+
PDF
Chat
|
Mean Field Evolution of Fermions with Coulomb Interaction
|
2017
|
Marcello Porta
Simone Rademacher
Chiara Saffirio
Benjamin Schlein
|
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+
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The excitation spectrum of Bose gases interacting through singular potentials
|
2017
|
Chiara Boccato
Christian Brennecke
Serena Cenatiempo
Benjamin Schlein
|
|
+
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A microscopic derivation of time-dependent correlation functions of the $1D$ cubic nonlinear Schrödinger equation
|
2017
|
JĂŒrg Fröhlich
Antti Knowles
Benjamin Schlein
Vedran Sohinger
|
|
+
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Fluctuations of $N$-particle quantum dynamics around the nonlinear Schrödinger equation
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2017
|
Christian Brennecke
Phan ThĂ nh Nam
Marcin NapiĂłrkowski
Benjamin Schlein
|
|
+
PDF
Chat
|
Quantum Many-Body Fluctuations Around Nonlinear Schrödinger Dynamics
|
2016
|
Chiara Boccato
Serena Cenatiempo
Benjamin Schlein
|
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+
PDF
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Incompatibility of Time-Dependent Bogoliubovâde-Gennes and GinzburgâLandau Equations
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2016
|
Rupert L. Frank
Christian Hainzl
Benjamin Schlein
Robert Seiringer
|
|
+
PDF
Chat
|
From the Hartree Dynamics to the Vlasov Equation
|
2016
|
Niels Benedikter
Marcello Porta
Chiara Saffirio
Benjamin Schlein
|
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+
PDF
Chat
|
Fluctuations around Hartree states in the mean-field regime
|
2015
|
Mathieu Lewin
Phan ThĂ nh Nam
Benjamin Schlein
|
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+
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Mean-Field Regime for Bosonic Systems
|
2015
|
Niels Benedikter
Marcello Porta
Benjamin Schlein
|
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+
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Effective Evolution Equations from Quantum Dynamics
|
2015
|
Niels Benedikter
Marcello Porta
Benjamin Schlein
|
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+
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Introduction
|
2015
|
Niels Benedikter
Marcello Porta
Benjamin Schlein
|
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PDF
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MeanâField Evolution of Fermionic Mixed States
|
2015
|
Niels Benedikter
Vojkan JakĆĄiÄ
Marcello Porta
Chiara Saffirio
Benjamin Schlein
|
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+
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Time-dependent Bogolubov--de-Gennes equations and non-validity of Ginzburg--Landau theory
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2015
|
Rupert L. Frank
Christian Hainzl
Benjamin Schlein
Robert Seiringer
|
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+
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Effective Evolution Equations from Quantum Dynamics
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2015
|
Niels Benedikter
Marcello Porta
Benjamin Schlein
|
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+
PDF
Chat
|
Spectral Properties of Wigner Matrices
|
2015
|
Benjamin Schlein
|
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+
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Effective Evolution Equations from Quantum Dynamics
|
2015
|
Niels Benedikter
Marcello Porta
Benjamin Schlein
|
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+
PDF
|
Hartree-Fock dynamics for weakly interacting fermions
|
2014
|
Niels Benedikter
Marcello Porta
Benjamin Schlein
|
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+
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Mean-field Evolution of Fermionic Mixed States
|
2014
|
Niels Benedikter
Vojkan JakĆĄiÄ
Marcello Porta
Chiara Saffirio
Benjamin Schlein
|
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+
PDF
|
Bounds for the Stieltjes transform and the density of states of Wigner matrices
|
2014
|
Claudio Cacciapuoti
Anna Maltsev
Benjamin Schlein
|
|
+
PDF
Chat
|
Quantitative Derivation of the GrossâPitaevskii Equation
|
2014
|
Niels Benedikter
Gustavo de Oliveira
Benjamin Schlein
|
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+
PDF
Chat
|
Dynamics of a Strongly Coupled Polaron
|
2014
|
Rupert L. Frank
Benjamin Schlein
|
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+
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Hartree-Fock dynamics for weakly interacting fermions
|
2014
|
Niels Benedikter
Marcello Porta
Benjamin Schlein
|
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+
PDF
Chat
|
MeanâField Evolution of Fermionic Systems
|
2014
|
Niels Benedikter
Marcello Porta
Benjamin Schlein
|
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+
PDF
Chat
|
Mean-field dynamics of fermions with relativistic dispersion
|
2014
|
Niels Benedikter
Marcello Porta
Benjamin Schlein
|
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+
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Mean-field Evolution of Fermionic Mixed States
|
2014
|
Niels Benedikter
Vojkan JakĆĄiÄ
Marcello Porta
Chiara Saffirio
Benjamin Schlein
|
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+
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Hartree-Fock dynamics for weakly interacting fermions
|
2014
|
Niels Benedikter
Marcello Porta
Benjamin Schlein
|
|
+
PDF
Chat
|
Multivariate Central Limit Theorem in Quantum Dynamics
|
2013
|
Simon Buchholz
Chiara Saffirio
Benjamin Schlein
|
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+
PDF
Chat
|
Effective equations for quantum dynamics
|
2013
|
Benjamin Schlein
|
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+
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Optimal Bounds on the Stieltjes Transform of Wigner Matrices
|
2013
|
Claudio Cacciapuoti
Anna Maltsev
Benjamin Schlein
|
|
+
PDF
Chat
|
QUANTUM DYNAMICS, COHERENT STATES AND BOGOLIUBOV TRANSFORMATIONS
|
2013
|
Benjamin Schlein
|
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+
PDF
Chat
|
A Central Limit Theorem in Many-Body Quantum Dynamics
|
2013
|
GĂ©rard Ben Arous
Kay Kirkpatrick
Benjamin Schlein
|
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+
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Dynamics of BoseâEinstein condensates of fermion pairs in the low density limit of BCS theory
|
2013
|
Christian Hainzl
Benjamin Schlein
|
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+
PDF
Chat
|
Local Marchenko-Pastur law at the hard edge of sample covariance matrices
|
2013
|
Claudio Cacciapuoti
Anna Maltsev
Benjamin Schlein
|
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+
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Terence Tao: âTopics in Random Matrix Theoryâ
|
2013
|
Benjamin Schlein
|
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+
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Dynamics of Bose-Einstein condensates of fermion pairs in the low density limit of BCS theory
|
2012
|
Christian Hainzl
Benjamin Schlein
|
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+
PDF
|
Effective Evolution Equations in Quantum Physics
|
2012
|
Benjamin Schlein
|
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+
PDF
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The local relaxation flow approach to universality of the local statistics for random matrices
|
2012
|
LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
Jun Yin
|
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+
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Effective equations for quantum dynamics
|
2012
|
Benjamin Schlein
|
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+
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Quantum Dynamics, Coherent States and Bogoliubov Transformations
|
2012
|
Benjamin Schlein
|
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+
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Dynamics of Bose-Einstein condensates of fermion pairs in the low density limit of BCS theory
|
2012
|
Christian Hainzl
Benjamin Schlein
|
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+
|
Effective Evolution Equations in Quantum Physics
|
2011
|
Benjamin Schlein
|
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+
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A Central Limit Theorem in Many-Body Quantum Dynamics
|
2011
|
GĂ©rard Ben Arous
Kay Kirkpatrick
Benjamin Schlein
|
|
+
PDF
Chat
|
Dynamical Collapse of Boson Stars
|
2011
|
Alessandro Michelangeli
Benjamin Schlein
|
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+
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Average density of states for Hermitian Wigner matrices
|
2011
|
Anna Maltsev
Benjamin Schlein
|
|
+
PDF
Chat
|
Rate of Convergence Towards Hartree Dynamics
|
2011
|
Li Chen
Ji Oon Lee
Benjamin Schlein
|
|
+
PDF
Chat
|
SPECTRAL PROPERTIES OF WIGNER MATRICES
|
2011
|
Benjamin Schlein
|
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+
PDF
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Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics
|
2011
|
Kay Kirkpatrick
Benjamin Schlein
Gigliola Staffilani
|
|
+
PDF
Chat
|
A Wegner estimate for Wigner matrices
|
2011
|
Anna Maltsev
Benjamin Schlein
|
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+
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Effective Evolution Equations in Quantum Physics
|
2011
|
Benjamin Schlein
|
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+
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A Central Limit Theorem in Many-Body Quantum Dynamics
|
2011
|
GĂ©rard Ben Arous
Kay Kirkpatrick
Benjamin Schlein
|
|
+
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A Wegner estimate for Wigner matrices
|
2011
|
Anna Maltsev
Benjamin Schlein
|
|
+
PDF
|
Universality of random matrices and local relaxation flow
|
2010
|
LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
|
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+
PDF
|
Ionization of Atoms by Intense Laser Pulses
|
2010
|
JĂŒrg Fröhlich
Alessandro Pizzo
Benjamin Schlein
|
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+
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Average Density of States for Hermitian Wigner Matrices
|
2010
|
Anna Maltsev
Benjamin Schlein
|
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+
PDF
|
On Blowup for Time-Dependent Generalized HartreeâFock Equations
|
2010
|
Christian Hainzl
Enno Lenzmann
Mathieu Lewin
Benjamin Schlein
|
|
+
PDF
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Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
|
2010
|
LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
|
|
+
PDF
Chat
|
ON THE EXISTENCE OF THE DYNAMICS FOR ANHARMONIC QUANTUM OSCILLATOR SYSTEMS
|
2010
|
Bruno Nachtergaele
Benjamin Schlein
Robert Sims
Shannon Starr
Valentin A. Zagrebnov
|
|
+
PDF
Chat
|
DERIVATION OF EFFECTIVE EVOLUTION EQUATIONS FROM MANY BODY QUANTUM DYNAMICS
|
2010
|
Benjamin Schlein
|
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+
PDF
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Bulk universality for Wigner matrices
|
2010
|
LĂĄszlĂł ErdĆs
Sandrine Péché
JosĂ© A. RamıÌrez
Benjamin Schlein
HorngâTzer Yau
|
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+
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Effective evolution equations from many body quantum dynamics
|
2010
|
Benjamin Schlein
|
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+
PDF
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Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation
|
2010
|
LĂĄszlĂł ErdĆs
JosĂ© A. RamıÌrez
Benjamin Schlein
HorngâTzer Yau
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Bulk universality for Wigner hermitian matrices with subexponential decay
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2010
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LĂĄszlĂł ErdĆs
JosĂ© A. RamıÌrez
Benjamin Schlein
Terence Tao
Van Vu
HorngâTzer Yau
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Average Density of States for Hermitian Wigner Matrices
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2010
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Anna Maltsev
Benjamin Schlein
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Wegner Estimate and Level Repulsion for Wigner Random Matrices
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2009
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LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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Universality of Random Matrices and Local Relaxation Flow
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2009
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LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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PDF
Chat
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Quantum Fluctuations and Rate of Convergence Towards Mean Field Dynamics
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2009
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Igor Rodnianski
Benjamin Schlein
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Bulk universality for Wigner hermitian matrices with subexponential decay
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2009
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LĂĄszlĂł ErdĆs
JosĂ© A. RamıÌrez
Benjamin Schlein
Terence Tao
Van Vu
HorngâTzer Yau
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PDF
Chat
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Dynamical Formation of Correlations in a Bose-Einstein Condensate
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2009
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LĂĄszlĂł ErdĆs
Alessandro Michelangeli
Benjamin Schlein
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Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation
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2009
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LĂĄszlĂł ErdĆs
JosĂ© A. RamıÌrez
Benjamin Schlein
HorngâTzer Yau
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Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential
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2009
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LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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PDF
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Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
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2009
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LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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PDF
Chat
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Quantum Dynamics with Mean Field Interactions: a New Approach
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2009
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LĂĄszlĂł ErdĆs
Benjamin Schlein
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Bulk Universality for Wigner Matrices
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2009
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LĂĄszlĂł ErdĆs
Sandrine Péché
JosĂ© A. RamıÌrez
Benjamin Schlein
HorngâTzer Yau
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The local relaxation flow approach to universality of the local statistics for random matrices
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2009
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LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
Jun Yin
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Bulk universality for Wigner hermitian matrices with subexponential decay
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2009
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LĂĄszlĂł ErdĆs
JosĂ© Luis RamĂrez
Benjamin Schlein
Terence Tao
Van Vu
HorngâTzer Yau
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+
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Universality of Random Matrices and Local Relaxation Flow
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2009
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LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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+
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Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation
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2009
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LĂĄszlĂł ErdĆs
José A. Ramirez
Benjamin Schlein
HorngâTzer Yau
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PDF
Chat
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Ground-state energy of a low-density Bose gas: A second-order upper bound
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2008
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LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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PDF
Chat
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Stellar Collapse in the Time Dependent Hartree-Fock Approximation
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2008
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Christian Hainzl
Benjamin Schlein
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PDF
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Local Semicircle Law and Complete Delocalization for Wigner Random Matrices
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2008
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LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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PDF
Chat
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Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems
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2008
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Bruno Nachtergaele
Hillel Raz
Benjamin Schlein
Robert Sims
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Rigorous Derivation of the Gross-Pitaevskii Equation: the Case of a Strong Potential
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2008
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LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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Derivation of Effective Evolution Equations from Microscopic Quantum Dynamics
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2008
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Benjamin Schlein
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Wegner estimate and level repulsion for Wigner random matrices
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2008
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LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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Derivation of the two dimensional nonlinear Schrodinger equation from many body quantum dynamics
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2008
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Kay Kirkpatrick
Benjamin Schlein
Gigliola Staffilani
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PDF
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Rayleigh Scattering at Atoms with Dynamical Nuclei
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2007
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JĂŒrg Fröhlich
Marcel Griesemer
Benjamin Schlein
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PDF
Chat
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Rigorous Derivation of the Gross-Pitaevskii Equation
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2007
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LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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Quantum Fluctuations and Rate of Convergence towards Mean Field Dynamics
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2007
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Igor Rodnianski
Benjamin Schlein
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Dynamics of Bose-Einstein Condensates
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2007
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Benjamin Schlein
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PDF
Chat
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Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems
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2006
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LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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PDF
Chat
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Magnetism and the Weiss Exchange Field-A Theoretical Analysis Motivated by Recent Experiments
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2006
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Cabrera Albert
L. Ferrari
JĂŒrg Fröhlich
Benjamin Schlein
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PDF
Chat
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Mean field dynamics of boson stars
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2006
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Alexander Elgart
Benjamin Schlein
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PDF
Chat
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Derivation of the GrossâPitaevskii hierarchy for the dynamics of BoseâEinstein condensate
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2006
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LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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PDF
Chat
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Derivation of the Gross-Pitaevskii Hierarchy
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2006
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Benjamin Schlein
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Derivation of the Gross-Pitaevskii Equation for the Dynamics of Bose-Einstein Condensate
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2006
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LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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Derivation of the Gross-Pitaevskii Equation from Quantum Dynamics of Many-Body Systems
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2005
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LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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PDF
Chat
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Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons
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2005
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Alexander Elgart
LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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Mean Field Dynamics of Boson Stars
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2005
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Alexander Elgart
Benjamin Schlein
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Rayleigh Scattering at Atoms with Dynamical Nuclei
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2005
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Juerg Froehlich
Marcel Griesemer
Benjamin Schlein
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PDF
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Asymptotic Completeness for Compton Scattering
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2004
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JĂŒrg Fröhlich
Marcel Griesemer
Benjamin Schlein
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PDF
Chat
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Nonlinear Hartree equation as the mean field limit of weakly coupled fermions
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2004
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Alexander Elgart
LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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PDF
Chat
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Adiabatic charge transport and the Kubo formula for Landauâtype Hamiltonians
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2004
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Alexander Elgart
Benjamin Schlein
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Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons
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2004
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Alexander Elgart
LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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Derivation of the Gross-Pitaevskii Hierarchy for the Dynamics of Bose-Einstein Condensate
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2004
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LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians
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2003
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Alexander Elgart
Benjamin Schlein
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Nonlinear Hartree equation as the mean field limit of weakly coupled fermions
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2003
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Alexander Elgart
LĂĄszlĂł ErdĆs
Benjamin Schlein
HorngâTzer Yau
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PDF
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Asymptotic Completeness for Rayleigh Scattering
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2002
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J. Frölich
Marcel Griesemer
Benjamin Schlein
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Asymptotic Electromagnetic Fields in Models of Quantum-Mechanical Matter Interacting with the Quantized Radiation Field
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2001
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JĂŒrg Fröhlich
Marcel Griesemer
Benjamin Schlein
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Asymptotic Completeness for Rayleigh Scattering
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2001
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Juerg Froehlich
Marcel Griesemer
Benjamin Schlein
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+
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Asymptotic Completeness for Compton Scattering
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2001
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Juerg Froehlich
Marcel Griesemer
Benjamin Schlein
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Asymptotic Electromagnetic Fields in Models of Quantum-Mechanical Matter Interacting with the Quantized Radiation Field
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2000
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Juerg Froehlich
Marcel Griesemer
Benjamin Schlein
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