The effective mass problem for the Landau–Pekar equations

DOI10.1088/1751-8121/ac3947zbMath1499.35519arXiv2107.03720OpenAlexW3214061556MaRDI QIDQ5049470

Simone Rademacher, Robert Seiringer, Dario Feliciangeli

Publication date: 11 November 2022

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.03720

zbMATH Keywords

polaroneffective massLandau-Pekar equations

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Quantum equilibrium statistical mechanics (general) (82B10) Statistical mechanics of solids (82D20)

Related Items (2)

Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron ⋮ Ubiquity of bound states for the strongly coupled polaron

Cites Work

• Emission of Cherenkov radiation as a mechanism for Hamiltonian friction
• Dynamics of a strongly coupled polaron
• Derivation of an effective evolution equation for a strongly coupled polaron
• A note on the Fröhlich dynamics in the strong coupling limit
• Persistence of the spectral gap for the Landau-Pekar equations
• Uniqueness of ground states for pseudorelativistic Hartree equations
• Friction in a model of Hamiltonian dynamics
• The Landau-Pekar equations: adiabatic theorem and accuracy
• Divergence of the effective mass of a polaron in the strong coupling limit
• Ballistic motion of a tracer particle coupled to a Bose gas
• The strongly coupled polaron on the torus: quantum corrections to the Pekar asymptotics
• Some Hamiltonian models of friction
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• On the dynamics of polarons in the strong-coupling limit
• The polaron at strong coupling
• Hamiltonian Dynamics of a Particle Interacting with a Wave Field

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