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Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron
Communications on Pure and Applied Mathematics ( IF 3 ) Pub Date : 2020-09-28 , DOI: 10.1002/cpa.21944
Rupert L. Frank 1, 2 , Robert Seiringer 3
Affiliation  

We consider the Frohlich polaron model in the strong coupling limit. It is well known that to leading order the ground state energy is given by the (classical) Pekar energy. In this work, we establish the subleading correction, describing quantum fluctuation about the classical limit. Our proof applies to a model of a confined polaron, where both the electron and the polarization field are restricted to a set of finite volume, with linear size determined by the natural length scale of the Pekar problem.

中文翻译:

强耦合极化子的 Pekar 渐近线的量子校正

我们考虑强耦合极限下的 Frohlich 极化子模型。众所周知,先导阶的基态能量由(经典)Pekar 能量给出。在这项工作中,我们建立了子引导校正,描述了关于经典极限的量子涨落。我们的证明适用于受限极化子模型,其中电子和极化场都被限制在一组有限体积内,线性大小由 Pekar 问题的自然长度尺度决定。
更新日期:2020-09-28
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