Analytical solutions for a class of double-well potentials

被引：6

作者：

Xie, Qiongtao ^{[1
,2
]}

Wang, Linmao ^{[1
]}

Fu, Jun ^{[1
]}

机构：

[1] Hainan Normal Univ, Coll Phys & Elect Engn, Haikou 571158, Peoples R China

[2] Hunan Normal Univ, Dept Phys, Changsha 410081, Hunan, Peoples R China

来源：

PHYSICA SCRIPTA | 2015年 / 90卷 / 04期

基金：

中国国家自然科学基金;

关键词：

analytical solutions; double-well potential; quasi-exactly solvable; EXACTLY SOLVABLE POTENTIALS; ORTHOGONAL POLYNOMIALS; QUANTUM-MECHANICS; FAMILIES; SOLITONS;

D O I：

10.1088/0031-8949/90/4/045204

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate a four-parameter class of quasi-exactly solvable double-well potentials. We present an analytical solution for this class of double-well potentials in terms of the confluent Heun functions. It is shown that under specific values of the potential parameters, certain eigenenergies and eigenfunctions can be found exactly in an explicit form. In addition, these exact analytical solutions are used to construct exact localized solutions for the nonlinear Schrodinger equation with a double-well self-defocusing nonlinearity.

引用

页数：5

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