The polaron at strong coupling
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Publication:5156027
DOI10.1142/S0129055X20600120zbMath1499.81069arXiv1912.12509MaRDI QIDQ5156027
Publication date: 14 October 2021
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.12509
Model quantum field theories (81T10) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70)
Related Items (8)
The effective mass problem for the Landau–Pekar equations ⋮ The strongly coupled polaron on the torus: quantum corrections to the Pekar asymptotics ⋮ Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron ⋮ The parabolic-Gaussian potential and phonon effects on the polaron levels in alkali halogen ionic crystal quantum wells ⋮ The Fröhlich polaron at strong coupling. I: the quantum correction to the classical energy ⋮ Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling ⋮ Quasi-classical ground states. I: Linearly coupled Pauli-Fierz Hamiltonians ⋮ Ground state of the polaron hydrogenic atom in a strong magnetic field
Cites Work
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- Dynamics of a strongly coupled polaron
- Uniqueness and nondegeneracy of ground states for Choquard equations in three dimensions
- 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
- Classification of positive solitary solutions of the nonlinear Choquard equation
- Exact ground state energy of the strong-coupling polaron
- Equivalence of two definitions of the effective mass of a polaron
- Effective mass of the polaron -- revisited
- Divergence of the effective mass of a polaron in the strong coupling limit
- Identification of the polaron measure in strong coupling and the Pekar variational formula
- Particle-like solutions in field theory
- Self-adjointness and domain of the Fröhlich Hamiltonian
- On uniqueness and non-degeneracy of anisotropic polarons
- GROUND STATE PROPERTIES OF MULTI-POLARON SYSTEMS
- Ground-State Energy and Effective Mass of the Polaron
- Asymptotics for the polaron
- Strongly interacting bumps for the Schrödinger–Newton equations
- Explicit evaluation of certain Gaussian functional integrals arising in problems of statistical physics
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- An analytical approach to the Schrödinger-Newton equations
- On the dynamics of polarons in the strong-coupling limit
- Ground States of Quantum Field Models
- Uniqueness and NonDegeneracy of Minimizers of the Pekar Functional on a Ball
- THE POLARON REVISITED
- The Motion of Slow Electrons in a Polar Crystal
- Slow Electrons in a Polar Crystal
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