Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron

Autor:	Mitrouskas, David, Myśliwy, Krzysztof, Seiringer, Robert
Rok vydání:	2022
Předmět:	Mathematical Physics Condensed Matter - Other Condensed Matter
Zdroj:	Forum Math. Sigma 11:e49, 1-52 (2023)
Druh dokumentu:	Working Paper
DOI:	10.1017/fms.2023.45
Popis:	We consider the large polaron described by the Fr\"ohlich Hamiltonian and study its energy-momentum relation defined as the lowest possible energy as a function of the total momentum. Using a suitable family of trial states, we derive an optimal parabolic upper bound for the energy-momentum relation in the limit of strong coupling. The upper bound consists of a momentum independent term that agrees with the predicted two-term expansion for the ground state energy of the strongly coupled polaron at rest, and a term that is quadratic in the momentum with coefficient given by the inverse of twice the classical effective mass introduced by Landau and Pekar. Comment: 61 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.02454 Zobrazit plný text záznamu View this record from Arxiv