The Fröhlich Polaron at Strong Coupling -- Part I: The Quantum Correction to the Classical Energy

Abstract

We study the Fröhlich polaron model in ${\mathbb{R}}^3$, and establish the subleading term in the strong coupling asymptotics of its ground state energy, corresponding to the quantum corrections to the classical energy determined by the Pekar approximation.

References in corpus (11)

• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Erratum: Exact Ground State Energy of the Strong-Coupling Polaron
• Ground State Energy of the One-Component Charged Bose Gas
• Quantum corrections to the Pekar asymptotics of a strongly coupled polaron
• Divergence of the effective mass of a polaron in the strong coupling limit
• Effective mass of the polaron -- revisited
• The Polaron at Strong Coupling
• Effective mass of the Polaron: a lower bound
• Persistence of the spectral gap for the Landau-Pekar equations
• Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron
• Validity of Bogoliubov's approximation for translation-invariant Bose gases

Cited by in corpus (6)

• Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron
• On the global minimum of the energy-momentum relation for the polaron
• Ubiquity of bound states for the strongly coupled polaron
• The Fröhlich Polaron at Strong Coupling -- Part II: Energy-Momentum Relation and Effective Mass
• Bound excited states of Fröhlich polarons in one dimension
• Asymptotic series for low-energy excitations of the Fröhlich Polaron at strong coupling