Renewal approach for the energy–momentum relation of the Fröhlich polaron

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2023-08-18 DOI:10.1007/s11005-023-01711-w

Steffen Polzer

引用次数: 7

Abstract

We study the qualitative behaviour of the energy–momentum relation of the Fröhlich polaron at fixed coupling strength. Among other properties, we show that it is non-decreasing and that the correction to the quasi-particle energy is negative. We give a proof that the effective mass lies in \((1, \infty )\) that does not need the validity of a central limit theorem for the path measure.

查看原文本刊更多论文

Fröhlich极化子能量-动量关系的更新方法。

我们研究了Fröhlich极化子在固定耦合强度下的能量-动量关系的定性行为。在其他性质中，我们证明了它是非递减的，并且对准粒子能量的校正是负的。我们给出了有效质量在（1，∞）中的一个证明，该证明不需要路径测度的中心极限定理的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.