Nikolai Leopold

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All published works

Action	Title	Year	Authors
+ PDF Chat	Derivation of the Maxwell-Schr\"odinger and Vlasov-Maxwell Equations from Non-Relativistic QED	2024	Nikolai Leopold
+ PDF Chat	Propagation of Moments for Large Data and Semiclassical Limit to the Relativistic Vlasov Equation	2023	Nikolai Leopold Chiara Saffirio
+	Norm approximation for the Fröhlich dynamics in the mean-field regime	2023	Nikolai Leopold
+ PDF Chat	Derivation of the Maxwell–Schrödinger equations: A note on the infrared sector of the radiation field	2023	Marco Falconi Nikolai Leopold
+	Asymptotic analysis of the weakly interacting Bose gas: A collection of recent results and applications	2023	Lea Boßmann Nikolai Leopold David Mitrouskas Sören Petrat
+	Renormalized Bogoliubov Theory for the Nelson Model	2023	Marco Falconi Jonas Lampart Nikolai Leopold David Mitrouskas
+	A Note on the Binding Energy for Bosons in the Mean-field Limit	2023	Lea Boßmann Nikolai Leopold David Mitrouskas Sören Petrat
+	Derivation of the Vlasov-Maxwell system from the Maxwell-Schrödinger equations with extended charges	2023	Nikolai Leopold Chiara Saffirio
+	Ground state of Bose gases interacting through singular potentials	2023	Lea Boßmann Nikolai Leopold Sören Petrat Simone Rademacher
+ PDF Chat	Bogoliubov dynamics and higher-order corrections for the regularized Nelson model	2022	Marco Falconi Nikolai Leopold David Mitrouskas Sören Petrat
+	Derivation of the Maxwell-Schrödinger Equations: A note on the infrared sector of the radiation field	2022	Marco Falconi Nikolai Leopold
+	Propagation of moments for large data and semiclassical limit to the relativistic Vlasov equation	2022	Nikolai Leopold Chiara Saffirio
+	Norm approximation for the Fröhlich dynamics in the mean-field regime	2022	Nikolai Leopold
+ PDF Chat	Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron	2021	Nikolai Leopold David Mitrouskas Simone Rademacher Benjamin Schlein Robert Seiringer
+ PDF Chat	The Landau–Pekar equations : adiabatic theorem and accuracy	2021	Nikolai Leopold Simone Rademacher Benjamin Schlein Robert Seiringer
+ PDF Chat	Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit	2021	Nikolai Leopold David Mitrouskas Robert Seiringer
+	Bogoliubov Dynamics and Higher-order Corrections for the Regularized Nelson Model	2021	Marco Falconi Nikolai Leopold David Mitrouskas Sören Petrat
+ PDF Chat	Derivation of the Maxwell--Schrödinger Equations from the Pauli--Fierz Hamiltonian	2020	Nikolai Leopold Peter Pickl
+ PDF Chat	Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions	2019	Maximilian Jeblick Nikolai Leopold Peter Pickl
+ PDF Chat	Mean-Field Dynamics for the Nelson Model with Fermions	2019	Nikolai Leopold Sören Petrat
+	The Landau-Pekar equations: Adiabatic theorem and accuracy	2019	Nikolai Leopold Simone Rademacher Benjamin Schlein Robert Seiringer
+ PDF Chat	Theory of the rotating polaron: Spectrum and self-localization	2018	Enderalp Yakaboylu Bikashkali Midya Andreas Deuchert Nikolai Leopold Mikhail Lemeshko
+	Effective evolution equations from quantum mechanics	2018	Nikolai Leopold
+ PDF Chat	Mean-Field Limits of Particles in Interaction with Quantized Radiation Fields	2018	Nikolai Leopold Peter Pickl

Common Coauthors

Coauthor	Papers Together
David Mitrouskas	7
Sören Petrat	6
Marco Falconi	5
Simone Rademacher	4
Robert Seiringer	4
Lea Boßmann	3
Benjamin Schlein	3
Chiara Saffirio	3
Peter Pickl	3
Enderalp Yakaboylu	1
Bikashkali Midya	1
Mikhail Lemeshko	1
Jonas Lampart	1
Maximilian Jeblick	1
Andreas Deuchert	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Derivation of an effective evolution equation for a strongly coupled polaron	2017	Rupert L. Frank Zhou Gang	11
+ PDF Chat	Bohr's Correspondence Principle for the Renormalized Nelson Model	2017	Zied Ammari Marco Falconi	11
+ PDF Chat	Quantum Fluctuations and Rate of Convergence Towards Mean Field Dynamics	2009	Igor Rodnianski Benjamin Schlein	10
+ PDF Chat	Partially Classical Limit of the Nelson Model	2006	J. Ginibre Fabio Nironi G. Velo	10
+ PDF Chat	Classical limit of the Nelson model with cutoff	2013	Marco Falconi	10
+ PDF Chat	Mean-Field Dynamics for the Nelson Model with Fermions	2019	Nikolai Leopold Sören Petrat	9
+ PDF Chat	Dynamics of a Strongly Coupled Polaron	2014	Rupert L. Frank Benjamin Schlein	9
+ PDF Chat	Derivation of the Maxwell--Schrödinger Equations from the Pauli--Fierz Hamiltonian	2020	Nikolai Leopold Peter Pickl	9
+ PDF Chat	A Simple Derivation of Mean Field Limits for Quantum Systems	2011	Peter Pickl	9
+ PDF Chat	On the dynamics of polarons in the strong-coupling limit	2017	Marcel Griesemer	8
+	Particle–boson interactions and the weak coupling limit	1979	E. B. Davies	8
+ PDF Chat	Effective N-Body Dynamics for the Massless Nelson Model and Adiabatic Decoupling without Spectral Gap	2002	Stefan Teufel	8
+ PDF Chat	Fluctuations around Hartree states in the mean-field regime	2015	Mathieu Lewin Phan Thành Nam Benjamin Schlein	7
+ PDF Chat	Mean-Field Limits of Particles in Interaction with Quantized Radiation Fields	2018	Nikolai Leopold Peter Pickl	7
+ PDF Chat	Mean-Field Dynamics: Singular Potentials and Rate of Convergence	2010	Antti Knowles Peter Pickl	7
+ PDF Chat	Gross–Pitaevskii dynamics for Bose–Einstein condensates	2019	Christian Brennecke Benjamin Schlein	6
+ PDF Chat	Wigner Measures Approach to the Classical Limit of the Nelson Model: Convergence of Dynamics and Ground State Energy	2014	Zied Ammari Marco Falconi	6
+ PDF Chat	Bogoliubov corrections and trace norm convergence for the Hartree dynamics	2019	David Mitrouskas Sören Petrat Peter Pickl	6
+ PDF Chat	A note on the Fröhlich dynamics in the strong coupling limit	2021	David Mitrouskas	6
+ PDF Chat	Persistence of the spectral gap for the Landau–Pekar equations	2021	Dario Feliciangeli Simone Rademacher Robert Seiringer	5
+ PDF Chat	Quantitative Derivation of the Gross‐Pitaevskii Equation	2014	Niels Benedikter Gustavo de Oliveira Benjamin Schlein	5
+ PDF Chat	Bogoliubov Spectrum of Interacting Bose Gases	2014	Mathieu Lewin Phan Thành Nam Sylvia Serfaty Jan Philip Solovej	5
+ PDF Chat	Quantum Many-Body Fluctuations Around Nonlinear Schrödinger Dynamics	2016	Chiara Boccato Serena Cenatiempo Benjamin Schlein	5
+ PDF Chat	The Landau–Pekar equations : adiabatic theorem and accuracy	2021	Nikolai Leopold Simone Rademacher Benjamin Schlein Robert Seiringer	5
+ PDF Chat	A non-linear adiabatic theorem for the one-dimensional Landau–Pekar equations	2020	Rupert L. Frank Zhou Gang	5
+ PDF Chat	Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit	2021	Nikolai Leopold David Mitrouskas Robert Seiringer	5
+ PDF Chat	The classical limit for quantum mechanical correlation functions	1974	K. Hepp	5
+	Interaction of Nonrelativistic Particles with a Quantized Scalar Field	1964	Edward Nelson	5
+ PDF Chat	Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron	2021	Nikolai Leopold David Mitrouskas Simone Rademacher Benjamin Schlein Robert Seiringer	5
+ PDF Chat	Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions	2019	Maximilian Jeblick Nikolai Leopold Peter Pickl	4
+ PDF Chat	A simple proof of convergence to the Hartree dynamics in Sobolev trace norms	2016	Ioannis Anapolitanos Michael Hott	4
+ PDF Chat	Asymptotic expansion of low-energy excitations for weakly interacting bosons	2021	Lea Boßmann Sören Petrat Robert Seiringer	4
+ PDF Chat	Derivation of the time dependent Gross–Pitaevskii equation with external fields	2015	Peter Pickl	4
+	A note on the validity of Bogoliubov correction to mean-field dynamics	2017	Phan Thành Nam Marcin Napiórkowski	4
+	Quasi-Classical Dynamics	2019	Michele Correggi Marco Falconi Marco Olivieri	4
+ PDF Chat	Bogoliubov correction to the mean-field dynamics of interacting bosons	2017	Phan Thành Nam Marcin Napiórkowski	4
+ PDF Chat	Bohr's correspondence principle in quantum field theory and classical renormalization scheme: the Nelson model	2016	Zied Ammari Marco Falconi	4
+	Norm approximation for many-body quantum dynamics: Focusing case in low dimensions	2019	Phan Thành Nam Marcin Napiórkowski	4
+ PDF Chat	Exact Ground State Energy of the Strong-Coupling Polaron	1997	Élliott H. Lieb Lawrence E. Thomas	4
+ PDF Chat	Emergence of Time-Dependent Point Interactions in Polaron Models	2021	Raffaele Carlone Michele Correggi Marco Falconi Marco Olivieri	3
+ PDF Chat	Derivation of the Time Dependent Gross-Pitaevskii Equation Without Positivity Condition on the Interaction	2010	Peter Pickl	3
+ PDF Chat	Dynamics of Charged Particles and their Radiation Field	2004	Herbert Spohn	3
+ PDF Chat	From the Hartree Dynamics to the Vlasov Equation	2016	Niels Benedikter Marcello Porta Chiara Saffirio Benjamin Schlein	3
+ PDF Chat	Some new well-posedness results for the Klein-Gordon-Schrödinger system	2012	Hartmut Pecher	3
+ PDF Chat	Emergence of Time-Dependent Point Interactions in Polaron Models	2021	Raffaele Carlone Michele Correggi Marco Falconi Marco Olivieri	3
+	The Mathematics of the Bose Gas and its Condensation	2005	Elliott H. Lieb	3
+	Effective evolution equations from quantum mechanics	2018	Nikolai Leopold	3
+	The Landau-Pekar equations: Adiabatic theorem and accuracy	2019	Nikolai Leopold Simone Rademacher Benjamin Schlein Robert Seiringer	3
+ PDF Chat	Fluctuations of $N$-particle quantum dynamics around the nonlinear Schrödinger equation	2018	Christian Brennecke Phan Thành Nam Marcin Napiórkowski Benjamin Schlein	3
+ PDF Chat	Beyond Bogoliubov dynamics	2021	Lea Boßmann Sören Petrat Peter Pickl Avy Soffer	3