Polaron Models with Regular Interactions at Strong Coupling

Article Mathematics, Applied

Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron

Rupert L. Frank et al.

Summary: In this work, the subleading correction of the ground state energy in the Frohlich polaron model in the strong coupling limit was established, taking into account quantum fluctuations around the classical limit. The study focused on a confined polaron model, where both the electron and the polarization field are restricted to a finite volume set with a linear size determined by the natural length scale of the Pekar problem.

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2021)

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Article Mathematics, Applied

The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics

Dario Feliciangeli et al.

Summary: The study investigates the Frohlich polaron model on a three-dimensional torus, providing a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. The presence of translational symmetry (and its breakdown in the Pekar approximation) makes the analysis significantly more challenging than in previous studies in confined cases.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2021)

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Article Physics, Mathematical

A note on the Frohlich dynamics in the strong coupling limit

David Mitrouskas

Summary: Our study revises a previous result on the Frohlich dynamics in the strong coupling limit, showing that the electron ground state remains close to its initial state for a certain period of time, while the phonon fluctuations can be described by a Bogoliubov transformation.

LETTERS IN MATHEMATICAL PHYSICS (2021)

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Article Physics, Mathematical