Effective mass of the polaron -- revisited

DOI10.1007/s00023-020-00892-7zbMath1442.81028arXiv1908.03432OpenAlexW3102286824MaRDI QIDQ2172977

Herbert Spohn, Wojciech Dybalski

Publication date: 22 April 2020

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.03432

Mathematics Subject Classification ID

Brownian motion (60J65) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Other physical applications of random processes (60K40) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Statistical mechanics of solids (82D20)

Related Items (11)

Polaron models with regular interactions at strong coupling ⋮ Central limit theorem for Gibbs measures on path spaces including long range and singular interactions and homogenization of the stochastic heat equation ⋮ Renewal approach for the energy-momentum relation of the Fröhlich polaron ⋮ The Fröhlich polaron at strong coupling. I: the quantum correction to the classical energy ⋮ On the global minimum of the energy-momentum relation for the polaron ⋮ Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron ⋮ Quasi-classical ground states. I: Linearly coupled Pauli-Fierz Hamiltonians ⋮ Effective mass of the Polaron: a lower bound ⋮ Identification of the polaron measure in strong coupling and the Pekar variational formula ⋮ The polaron at strong coupling ⋮ Ground state of the polaron hydrogenic atom in a strong magnetic field

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• THE POLARON REVISITED
• Slow Electrons in a Polar Crystal

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