Lea Boßmann

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All published works
Action Title Year Authors
+ PDF Chat Weak Edgeworth expansion for the mean-field Bose gas 2023 Lea Boßmann
Sören Petrat
+ Asymptotic analysis of the weakly interacting Bose gas: A collection of recent results and applications 2023 Lea Boßmann
Nikolai Leopold
David Mitrouskas
Sören Petrat
+ Focusing dynamics of 2D Bose gases in the instability regime 2023 Lea Boßmann
Charlotte Dietze
Phan Thành Nam
+ A Note on the Binding Energy for Bosons in the Mean-field Limit 2023 Lea Boßmann
Nikolai Leopold
David Mitrouskas
Sören Petrat
+ Ground state of Bose gases interacting through singular potentials 2023 Lea Boßmann
Nikolai Leopold
Sören Petrat
Simone Rademacher
+ PDF Chat Low-energy spectrum and dynamics of the weakly interacting Bose gas 2022 Lea Boßmann
+ Weak Edgeworth expansion for the mean-field interacting Bose gas 2022 Lea Boßmann
Sören Petrat
+ PDF Chat Beyond Bogoliubov dynamics 2021 Lea Boßmann
Sören Petrat
Peter Pickl
Avy Soffer
+ PDF Chat Asymptotic expansion of low-energy excitations for weakly interacting bosons 2021 Lea Boßmann
Sören Petrat
Robert Seiringer
+ PDF Chat Derivation of the 2d Gross–Pitaevskii Equation for Strongly Confined 3d Bosons 2020 Lea Boßmann
+ Asymptotic expansion of the low-energy excitation spectrum for weakly interacting bosons 2020 Lea Boßmann
Sören Petrat
Robert Seiringer
+ PDF Chat Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons 2020 Lea Boßmann
Nataša Pavlović
Peter Pickl
Avy Soffer
+ Beyond bogoliubov dynamics 2019 Lea Boßmann
Sören Petrat
Peter Pickl
Avy Soffer
+ PDF Chat Derivation of the 1d nonlinear Schrödinger equation from the 3d quantum many-body dynamics of strongly confined bosons 2019 Lea Boßmann
+ PDF Chat Derivation of the 1d Gross–Pitaevskii Equation from the 3d Quantum Many-Body Dynamics of Strongly Confined Bosons 2018 Lea Boßmann
Stefan Teufel
+ PDF Chat On the dipole approximation with error estimates 2017 Lea Boßmann
Robert Grummt
Martin Kolb
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Bogoliubov Spectrum of Interacting Bose Gases 2014 Mathieu Lewin
Phan Thành Nam
Sylvia Serfaty
Jan Philip Solovej
8
+ The Mathematics of the Bose Gas and its Condensation 2005 Elliott H. Lieb
8
+ PDF Chat The Excitation Spectrum for Weakly Interacting Bosons 2011 Robert Seiringer
7
+ PDF Chat Quantum Fluctuations and Rate of Convergence Towards Mean Field Dynamics 2009 Igor Rodnianski
Benjamin Schlein
7
+ PDF Chat The Excitation Spectrum for Weakly Interacting Bosons in a Trap 2013 Philip Grech
Robert Seiringer
7
+ PDF Chat Mean-Field Dynamics: Singular Potentials and Rate of Convergence 2010 Antti Knowles
Peter Pickl
7
+ PDF Chat Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions 2019 Maximilian Jeblick
Nikolai Leopold
Peter Pickl
6
+ PDF Chat Bogoliubov corrections and trace norm convergence for the Hartree dynamics 2019 David Mitrouskas
Sören Petrat
Peter Pickl
6
+ PDF Chat A Central Limit Theorem in Many-Body Quantum Dynamics 2013 Gérard Ben Arous
Kay Kirkpatrick
Benjamin Schlein
6
+ PDF Chat Derivation of the time dependent Gross–Pitaevskii equation with external fields 2015 Peter Pickl
6
+ PDF Chat Asymptotic expansion of low-energy excitations for weakly interacting bosons 2021 Lea Boßmann
Sören Petrat
Robert Seiringer
6
+ PDF Chat Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics 2011 Kay Kirkpatrick
Benjamin Schlein
Gigliola Staffilani
6
+ PDF Chat Derivation of the Time Dependent Two Dimensional Focusing NLS Equation 2018 Maximilian Jeblick
Peter Pickl
6
+ PDF Chat A Simple Derivation of Mean Field Limits for Quantum Systems 2011 Peter Pickl
6
+ PDF Chat Gross–Pitaevskii dynamics for Bose–Einstein condensates 2019 Christian Brennecke
Benjamin Schlein
6
+ PDF Chat Bogoliubov correction to the mean-field dynamics of interacting bosons 2017 Phan Thành Nam
Marcin Napiórkowski
6
+ PDF Chat Pair Excitations and the Mean Field Approximation of Interacting Bosons, I 2013 Manoussos G. Grillakis
Matei Machedon
5
+ Bose particles in a box I. A convergent expansion of the ground state of a three-modes Bogoliubov Hamiltonian 2015 Alessandro Pizzo
5
+ PDF Chat Asymptotic expansion of the mean-field approximation 2019 Thierry Paul
Mario Pulvirenti
5
+ Bose particles in a box II. A convergent expansion of the ground state of the Bogoliubov Hamiltonian in the mean field limiting regime 2015 Alessandro Pizzo
5
+ PDF Chat Beyond Bogoliubov dynamics 2021 Lea Boßmann
Sören Petrat
Peter Pickl
Avy Soffer
5
+ PDF Chat Quantitative Derivation of the Gross‐Pitaevskii Equation 2014 Niels Benedikter
Gustavo de Oliveira
Benjamin Schlein
5
+ PDF Chat Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate 2010 László Erdős
Benjamin Schlein
Horng‐Tzer Yau
5
+ PDF Chat Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons 2020 Lea Boßmann
Nataša Pavlović
Peter Pickl
Avy Soffer
5
+ PDF Chat Rate of Convergence Towards Hartree Dynamics 2011 Li Chen
Ji Oon Lee
Benjamin Schlein
5
+ PDF Chat Fluctuations around Hartree states in the mean-field regime 2015 Mathieu Lewin
Phan Thành Nam
Benjamin Schlein
5
+ PDF Chat Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems 2006 László Erdős
Benjamin Schlein
Horng‐Tzer Yau
5
+ Derivation of the time dependent Gross-Pitaevskii equation for a class of non purely positive potentials 2018 Maximilian Jeblick
Peter Pickl
5
+ PDF Chat Second-Order Corrections to Mean Field Evolution of Weakly Interacting Bosons. I. 2009 Manoussos G. Grillakis
Matei Machedon
Dionisios Margetis
4
+ Dynamics of Large Boson Systems with Attractive Interaction and a Derivation of the Cubic Focusing NLS in $\mathbb{R}^3$ 2016 Jacky J. Chong
4
+ Bose particles in a box III. A convergent expansion of the ground state of the Hamiltonian in the mean field limiting regime 2015 Alessandro Pizzo
4
+ Derivation of Hartreeʼs theory for generic mean-field Bose systems 2014 Mathieu Lewin
Phan Thành Nam
Nicolas Rougerie
4
+ PDF Chat Fluctuations of $N$-particle quantum dynamics around the nonlinear Schrödinger equation 2018 Christian Brennecke
Phan Thành Nam
Marcin Napiórkowski
Benjamin Schlein
4
+ PDF Chat Complete Bose–Einstein Condensation in the Gross–Pitaevskii Regime 2017 Chiara Boccato
Christian Brennecke
Serena Cenatiempo
Benjamin Schlein
4
+ A note on the validity of Bogoliubov correction to mean-field dynamics 2017 Phan Thành Nam
Marcin Napiórkowski
4
+ PDF Chat Quantum Many-Body Fluctuations Around Nonlinear Schrödinger Dynamics 2016 Chiara Boccato
Serena Cenatiempo
Benjamin Schlein
4
+ PDF Chat Central limit theorem for Bose gases interacting through singular potentials 2020 Simone Rademacher
4
+ PDF Chat The classical limit for quantum mechanical correlation functions 1974 K. Hepp
4
+ PDF Chat On the Mean-Field Limit of Bosons with Coulomb Two-Body Interaction 2009 Jürg Fröhlich
Antti Knowles
Simon Schwarz
4
+ PDF Chat Well‐posedness of non‐autonomous linear evolution equations in uniformly convex spaces 2016 Jochen Schmid
Marcel Griesemer
4
+ PDF Chat Focusing Quantum Many-body Dynamics: The Rigorous Derivation of the 1D Focusing Cubic Nonlinear Schrödinger Equation 2016 Xuwen Chen
Justin Holmer
4
+ PDF Chat Exact Evolution versus mean field with second-order correction for Bosons interacting via short-range two-body potential 2017 Elif Kuz
4
+ PDF Chat Bogoliubov theory in the Gross–Pitaevskii limit 2019 Chiara Boccato
Christian Brennecke
Serena Cenatiempo
Benjamin Schlein
4
+ PDF Chat Focusing quantum many-body dynamics, II : The rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation from 3D 2017 Xuwen Chen
Justin Holmer
4
+ The classical field limit of non-relativistic bosons. II. Asymptotic expansions for general potentials 1980 J. Ginibre
G. Velo
3
+ PDF Chat On the Rigorous Derivation of the 2D Cubic Nonlinear Schrödinger Equation from 3D Quantum Many-Body Dynamics 2013 Xuwen Chen
Justin Holmer
3
+ On the Time Dependent Gross Pitaevskii- and Hartree Equation 2008 Peter Pickl
3
+ PDF Chat The NLS Limit for Bosons in a Quantum Waveguide 2016 Johannes von Keler
Stefan Teufel
3
+ Bogoliubov theory and bosonic atoms 2011 Phan Thành Nam
3
+ PDF Chat A simple proof of convergence to the Hartree dynamics in Sobolev trace norms 2016 Ioannis Anapolitanos
Michael Hott
3