Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron
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Publication:4994479
DOI10.1002/cpa.21944zbMath1467.82092arXiv1902.02489OpenAlexW2914787728MaRDI QIDQ4994479
Rupert L. Frank, Robert Seiringer
Publication date: 18 June 2021
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.02489
Existence theories for free problems in two or more independent variables (49J10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum equilibrium statistical mechanics (general) (82B10) Statistical mechanics of solids (82D20)
Related Items (13)
Polaron models with regular interactions at strong coupling ⋮ A note on the Fröhlich dynamics in the strong coupling limit ⋮ Persistence of the spectral gap for the Landau-Pekar equations ⋮ Derivation of the Landau-Pekar equations in a many-body mean-field limit ⋮ The strongly coupled polaron on the torus: quantum corrections to the Pekar asymptotics ⋮ The Fröhlich polaron at strong coupling. I: the quantum correction to the classical energy ⋮ Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron ⋮ A pointwise inequality for derivatives of solutions of the heat equation in bounded domains ⋮ Quasi-classical ground states. I: Linearly coupled Pauli-Fierz Hamiltonians ⋮ Quasi-classical dynamics ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ Uniqueness and NonDegeneracy of Minimizers of the Pekar Functional on a Ball ⋮ Bogoliubov theory for many-body quantum systems
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