Traveling waves and effective mass for the regularized Landau-Pekar equations

DOI10.1007/S00526-024-02735-3MaRDI QIDQ6493703

Simone Rademacher

Publication date: 29 April 2024

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Traveling wave solutions (35C07)

Cites Work

• Dynamics of a strongly coupled polaron
• Derivation of an effective evolution equation for a strongly coupled polaron
• On the lowest eigenvalue of the Laplacian for the intersection of two domains
• 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
• Exact ground state energy of the strong-coupling polaron
• The Landau-Pekar equations: adiabatic theorem and accuracy
• Divergence of the effective mass of a polaron in the strong coupling limit
• Boson stars as solitary waves
• 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
• Effective mass of the Polaron: a lower bound
• Asymptotics for the polaron
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• On the dynamics of polarons in the strong-coupling limit
• Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron
• The effective mass problem for the Landau–Pekar equations

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