Quantization of Nonsmooth Curves and the Semiclassical Spectrum of the One-Dimensional Schrödinger Operator with a Localized Perturbation of the Potential

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

Russian Journal of Mathematical Physics Pub Date : 2023-06-18 DOI:10.1134/S1061920823020073

I. A. Lavrinenko, A. I. Shafarevich

引用次数: 0

Abstract

A semiclassical asymptotics of eigenfunctions and eigenvalues is constructed for the one-dimensional Schrödinger operator in which the potential rapidly changes around a certain point.

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位能局域扰动下非光滑曲线的量化和一维Schrödinger算子的半经典谱

对于位势在某一点附近快速变化的一维Schrödinger算子，构造了特征函数和特征值的半经典渐近性。

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

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.