Divergence of the effective mass of a polaron in the strong coupling limit
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Publication:2194140
DOI10.1007/s10955-019-02322-3zbMath1446.81045arXiv1902.04025OpenAlexW2912114721WikidataQ98499946 ScholiaQ98499946MaRDI QIDQ2194140
Robert Seiringer, Elliott H. Lieb
Publication date: 25 August 2020
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.04025
Statistical mechanics of crystals (82D25) Quantum optics (81V80) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)
Related Items
Polaron models with regular interactions at strong coupling ⋮ The effective mass problem for the Landau–Pekar equations ⋮ 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 ⋮ Ground state properties in the quasiclassical regime ⋮ Quasi-classical ground states. I: Linearly coupled Pauli-Fierz Hamiltonians ⋮ Quasi-classical dynamics ⋮ 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 ⋮ The Landau-Pekar equations: adiabatic theorem and accuracy ⋮ Ground state of the polaron hydrogenic atom in a strong magnetic field
Cites Work
- Exact ground state energy of the strong-coupling polaron
- A bound on binding energies and mass renormalization in models of quantum electrodynamics
- Equivalence of two definitions of the effective mass of a polaron
- Ultraviolet properties of the spinless, one-particle Yukawa model
- Self-adjointness and domain of the Fröhlich Hamiltonian
- GROUND STATE PROPERTIES OF MULTI-POLARON SYSTEMS
- Asymptotics for the polaron
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- THE POLARON REVISITED
- The Motion of Slow Electrons in a Polar Crystal
