费曼跳棋外部电磁场和渐近特性

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Reviews in Mathematical Physics Pub Date : 2024-04-13 DOI:10.1142/s0129055x2450017x

Fedor Ozhegov

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引用次数: 0

摘要

本文研究的是费曼跳棋，它是最基本的电子运动模型之一。它也被称为一维量子行走或虚温下的伊辛模型。我们加入了最简单的非三维电磁场，并找到了由此产生的模型在小晶格步长和大时间下的极限，类似于 1972 年的 Narlikar 和 2000 年代的 Grimmet-Jason-Scudo 的结果。结果表明，有附加场的模型的极限是通过质量重正化从无附加场的模型中得到的。此外，我们还找到了由此模型的精确解。

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Feynman checkers: External electromagnetic field and asymptotic properties

In this paper, we study Feynman checkers, one of the most elementary models of electron motion. It is also known as a one-dimensional quantum walk or an Ising model at an imaginary temperature. We add the simplest non-trivial electromagnetic field and find the limits of the resulting model for small lattice step and large time, analogous to the results by Narlikar from 1972 and Grimmet–Jason–Scudo from the 2000s. It turns out that the limits in the model with the added field are obtained from the ones without field by mass renormalization. Also, we find an exact solution of the resulting model.

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来源期刊

Reviews in Mathematical Physics 物理-物理：数学物理

CiteScore

3.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Reviews in Mathematical Physics fills the need for a review journal in the field, but also accepts original research papers of high quality. The review papers - introductory and survey papers - are of relevance not only to mathematical physicists, but also to mathematicians and theoretical physicists interested in interdisciplinary topics. Original research papers are not subject to page limitations provided they are of importance to this readership. It is desirable that such papers have an expository part understandable to a wider readership than experts. Papers with the character of a scientific letter are usually not suitable for RMP.