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

Author:

Polzer SteffenORCID

Abstract

AbstractWe 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 $$(1, \infty )$$ ( 1 , ) that does not need the validity of a central limit theorem for the path measure.

Funder

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference24 articles.

1. Asmussen, S.: Applied Probability and Queues. Volume 51 of Applications of Mathematics (2 edn). Springer, New York (2003)

2. Betz, V., Polzer, S.: A functional central limit theorem for Polaron path measures. Commun. Pure Appl. Math. 75(11), 2345–2392 (2022)

3. Betz, V., Polzer, S.: Effective mass of the polaron: a lower bound. Commun. Math. Phys. (2022). https://doi.org/10.1007/s00220-022-04553-0

4. Betz, V., Spohn, H.: A central limit theorem for Gibbs measures relative to Brownian motion. Probab. Theory Relat. Fields 131(3), 459–478 (2004)

5. Brooks, M., Seiringer, R.: The Fröhlich Polaron at Strong Coupling—Part II: Energy-Momentum Relation and Effective Mass. arXiv:2211.03353 (2022)

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3