Quasi-Classical Asymptotics Describing the Electron-Hole Interaction and the Klein Effect for the (2+1)-Dirac Equation in Abruptly Varying Fields

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2024-10-03 DOI:10.1134/S1061920824030014

A.I. Allilueva, A.I. Shafarevich

引用次数: 0

Abstract

Using Maslov’s canonical operator in the Cauchy problem for a Dirac equation, we consider the asymptotics of the solution of the Cauchy problem in which the potential depends irregularly on a small parameter.

DOI 10.1134/S1061920824030014

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描述突变场中 (2+1)- 迪拉克方程的电子-空穴相互作用和克莱因效应的准经典渐近线

利用狄拉克方程考奇问题中的马斯洛夫典型算子，我们考虑了势不规则地依赖于一个小参数的考奇问题解的渐近性。 doi 10.1134/s1061920824030014

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

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.