Derivation of the Landau-Pekar equations in a many-body mean-field limit

DOI10.1007/s00205-021-01616-9zbMath1473.35468arXiv2001.03993OpenAlexW2999406097MaRDI QIDQ2662030

Nikolai Leopold, Robert Seiringer, David Mitrouskas

Publication date: 8 April 2021

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03993

zbMATH Keywords

Bose-Einstein condensateLandau-Pekar equationsmany-body Schrödinger equation

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Many-body theory; quantum Hall effect (81V70) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Time-dependent Schrödinger equations and Dirac equations (35Q41) Bosonic systems in quantum theory (81V73)

Related Items (6)

Derivation of the Maxwell–Schrödinger equations: A note on the infrared sector of the radiation field ⋮ Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron ⋮ Norm approximation for the Fröhlich dynamics in the mean-field regime ⋮ Bogoliubov dynamics and higher-order corrections for the regularized Nelson model ⋮ Ground state properties in the quasiclassical regime ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger

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• Derivation of the time dependent Gross–Pitaevskii equation with external fields
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