受有界对势扰动的布朗路径的均方位移

arXiv - PHYS - Mathematical Physics Pub Date : 2023-12-05 DOI:arxiv-2312.02709

Volker Betz, Tobias Schmidt, Mark Sellke

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引用次数: 0

摘要

研究了半有界偶势扰动下的布朗路径，并证明了均方位移的上界。作为一种技术工具，我们导出了关键不等式的无限维度版本，这些不等式首次在[Sellke;[j]，以研究fr \ \"欧希极化子的有效质量。

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Mean square displacement of Brownian paths perturbed by bounded pair potentials

We study Brownian paths perturbed by semibounded pair potentials and prove upper bounds on the mean square displacement. As a technical tool we derive infinite dimensional versions of key inequalities that were first used in [Sellke; arXiv:2212.14023] in order to study the effective mass of the Fr\"ohlich polaron.

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arXiv - PHYS - Mathematical Physics

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