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

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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Review Physics, Mathematical

The polaron at strong coupling

Robert Seiringer

Summary: The article reviews old and new results on the Frohlich polaron model, discussing the validity of the (classical) Pekar approximation in the strong coupling limit, quantum corrections to this limit, and the divergence of the effective polaron mass.

REVIEWS IN MATHEMATICAL PHYSICS (2021)

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Article Physics, Mathematical

Persistence of the spectral gap for the Landau-Pekar equations

Dario Feliciangeli et al.

Summary: By providing a class of specific initial data, the Landau-Pekar equations exhibit a uniform spectral gap for all times, allowing for the extension of results on the adiabatic theorem to larger time scales.

LETTERS IN MATHEMATICAL PHYSICS (2021)

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Article Mathematics, Applied