The strongly coupled polaron on the torus: quantum corrections to the Pekar asymptotics

Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: quantum corrections to the Pekar asymptotics. arXiv, 2101.12566.

Preprint | Submitted | English
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Abstract
We investigate the Fröhlich 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.
Publishing Year
Date Published
2021-02-01
Journal Title
arXiv
Acknowledgement
Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged. We would also like to thank Rupert Frank for many helpful discussions, especially related to the Gross coordinate transformation defined in Def. 4.1.
Article Number
2101.12566
IST-REx-ID

Cite this

Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: quantum corrections to the Pekar asymptotics. arXiv.
Feliciangeli, D., & Seiringer, R. (n.d.). The strongly coupled polaron on the torus: quantum corrections to the Pekar asymptotics. arXiv.
Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, n.d.
D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: quantum corrections to the Pekar asymptotics,” arXiv. .
Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: quantum corrections to the Pekar asymptotics. arXiv, 2101.12566.
Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, 2101.12566.
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