具有多驼峰衰变势的非自相加狄拉克算子的半经典 WKB 问题

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2023-12-06 DOI:10.3233/asy-231885

Nicholas Hatzizisis, Spyridon Kamvissis

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引用次数: 0

摘要

在本文中，我们研究了一个非自相关狄拉克算子的散射数据的半经典行为，该算子具有实、正、多驼峰、相当平滑但不一定在无穷远处衰减的解析势。我们对波尔-索默费尔德条件下的特征值位置、规范常数和反射系数进行了严格的半经典分析。

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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Semiclassical WKB problem for the non-self-adjoint Dirac operator with a multi-humped decaying potential

In this paper we study the semiclassical behavior of the scattering data of a non-self-adjoint Dirac operator with a real, positive, multi-humped, fairly smooth but not necessarily analytic potential decaying at infinity. We provide the rigorous semiclassical analysis of the Bohr-Sommerfeld condition for the location of the eigenvalues, the norming constants, and the reflection coefficient.

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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.