Persistence of the spectral gap for the Landau-Pekar equations

DOI10.1007/s11005-020-01350-5zbMath1469.35183arXiv2009.06430OpenAlexW3128028719MaRDI QIDQ829971

Dario Feliciangeli, Simone Rademacher, Robert Seiringer

Publication date: 7 May 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.06430

zbMATH Keywords

dynamicsspectral gapFröhlich polaronLandau-Pekar equations

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Applications of functional analysis in quantum physics (46N50) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (11)

Derivation of the Maxwell–Schrödinger equations: A note on the infrared sector of the radiation field ⋮ A note on the Fröhlich dynamics in the strong coupling limit ⋮ The effective mass problem for the Landau–Pekar equations ⋮ The strongly coupled polaron on the torus: quantum corrections to the Pekar asymptotics ⋮ Norm approximation for the Fröhlich dynamics in the mean-field regime ⋮ The Fröhlich polaron at strong coupling. I: the quantum correction to the classical energy ⋮ Bogoliubov dynamics and higher-order corrections for the regularized Nelson model ⋮ Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron ⋮ Ubiquity of bound states for the strongly coupled polaron ⋮ Bogoliubov theory for many-body quantum systems ⋮ The Landau-Pekar equations: adiabatic theorem and accuracy

Cites Work

• Derivation of an effective evolution equation for a strongly coupled polaron
• A non-linear adiabatic theorem for the one-dimensional Landau-Pekar equations
• Uniqueness of ground states for pseudorelativistic Hartree equations
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron

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