English

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

Mathematical Physics 2022-07-25 v4 math.MP

Abstract

We investigate the Fr\"ohlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the translational symmetry (and its breaking in the Pekar approximation) makes the analysis substantially more challenging.

Keywords

Cite

@article{arxiv.2101.12566,
  title  = {The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics},
  author = {Dario Feliciangeli and Robert Seiringer},
  journal= {arXiv preprint arXiv:2101.12566},
  year   = {2022}
}