On the asymptotics of eigenvalues for a Sturm-Liouville problem with symmetric single-well potential

被引：1

作者：

Baskaya, Elif ^{[1
]}

机构：

[1] Karadeniz Tech Univ, Dept Math, Karadeniz, Turkiye

来源：

DEMONSTRATIO MATHEMATICA | 2024年 / 57卷 / 01期

关键词：

Sturm-Liouville problem; symmetric single-well potential; eigenvalue parameter in the boundary condition; asymptotic expansions; DIMENSIONAL SCHRODINGER-OPERATORS; 1ST; 2; EIGENVALUES; HILLS EQUATION; PARAMETER; EIGENFUNCTIONS; GAP;

D O I：

10.1515/dema-2023-0129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, Sturm-Liouville problem with one boundary condition including an eigenparameter is considered, and the asymptotic expansion of its eigenparameter is calculated. The problem also has a symmetric single-well potential, which is an important function in quantum mechanics.

引用

页数：10

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