有限密度情况下半线上狄拉克微分方程系统的直接散射理论问题

Pub Date : 2024-07-08 DOI:10.1134/s0012266124030029

A. E. Mamatov

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引用次数: 0

摘要

摘要本文研究了在有限密度情况下，边界条件为 \(y_{1}(0)=y_{2}(0) \)的狄拉克微分方程系统在半线上的直接散射问题。研究了频谱，构建了解析力，并得到了狄拉克算子特征函数的频谱展开。

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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Direct Problem of Scattering Theory for a Dirac System of Differential Equations on the Half-Line in the Case of Finite Density

Abstract

In this paper, we study the direct scattering problem on the half-line for the Dirac system of differential equations in the case of finite density with the boundary condition \(y_{1}(0)=y_{2}(0) \). The spectrum is studied, the resolvent is constructed, and the spectral expansion in the eigenfunctions of the Dirac operator is obtained.

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