The Landau-Pekar equations: Adiabatic theorem and accuracy

Nikolai Leopold, Simone Rademacher, Benjamin Schlein, Robert Seiringer

Type: Preprint

Publication Date: 2019-04-29

Citations: 11

Locations

arXiv (Cornell University) - View

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+	Quasi-Classical Dynamics	2019	Michele Correggi Marco Falconi Marco Olivieri
+	A non-linear adiabatic theorem for the one-dimensional Landau-Pekar equations	2019	Rupert L. Frank Zhou Gang
+ PDF Chat	Bogoliubov dynamics and higher-order corrections for the regularized Nelson model	2022	Marco Falconi Nikolai Leopold David Mitrouskas Sören Petrat
+	Quasi-classical dynamics	2022	Michele Correggi Marco Falconi Marco Olivieri
+ PDF Chat	Persistence of the spectral gap for the Landau–Pekar equations	2021	Dario Feliciangeli Simone Rademacher Robert Seiringer
+ PDF Chat	A non-linear adiabatic theorem for the one-dimensional Landau–Pekar equations	2020	Rupert L. Frank Zhou Gang
+ 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	Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit	2021	Nikolai Leopold David Mitrouskas Robert Seiringer
+ PDF Chat	Scaling limits of bosonic ground states, from many-body to nonlinear Schrödinger	2020	Nicolas Rougerie
+ PDF Chat	A note on the Fröhlich dynamics in the strong coupling limit	2021	David Mitrouskas

Works Cited by This (15)

Action	Title	Year	Authors
+	Adiabatic perturbation theory in quantum dynamics	2003	Stefan Teufel
+	Particle–boson interactions and the weak coupling limit	1979	E. B. Davies
+ PDF Chat	Exact Ground State Energy of the Strong-Coupling Polaron	1997	Élliott H. Lieb Lawrence E. Thomas
+ PDF Chat	Classical limit of the Nelson model with cutoff	2013	Marco Falconi
+ PDF Chat	Partially Classical Limit of the Nelson Model	2006	J. Ginibre Fabio Nironi G. Velo
+ PDF Chat	Derivation of the Maxwell--Schrödinger Equations from the Pauli--Fierz Hamiltonian	2020	Nikolai Leopold Peter Pickl
+ PDF Chat	Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit	2019	Élliott H. Lieb Robert Seiringer
+ PDF Chat	A non-linear adiabatic theorem for the one-dimensional Landau–Pekar equations	2020	Rupert L. Frank Zhou Gang
+ PDF Chat	Dynamics of a Strongly Coupled Polaron	2014	Rupert L. Frank Benjamin Schlein
+ PDF Chat	On the dynamics of polarons in the strong-coupling limit	2017	Marcel Griesemer