Eigenvalues of one-dimensional Hamiltonian operators with an eigenparameter in the boundary condition

被引：1

作者：

Li, Kun ^{[1
]}

Zheng, Jiajia ^{[1
]}

Cai, Jinming ^{[1
]}

Zheng, Zhaowen ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273100, Peoples R China

[2] Guangdong Polytech Normal Univ, Coll Math & Syst Sci, Guangzhou, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 09期

基金：

中国博士后科学基金;

关键词：

STURM-LIOUVILLE PROBLEMS; SPECTRAL PARAMETER; DIRAC SYSTEM; DEPENDENCE;

D O I：

10.1063/5.0138229

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, one-dimensional Hamiltonian operators with spectral parameter-dependent boundary conditions are investigated. First, the eigenvalues of the problem under consideration are transformed into the eigenvalues of an operator in an appropriate Hilbert space. Then, some properties of the eigenvalues are given. Moreover, the continuity and differentiability of the eigenvalues of the problem are obtained, and the differential expressions of the eigenvalues concerning each parameter are also given. Finally, Green's function is also involved.

引用

页数：15

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