Bound State Solutions of the Klein-Gordon Equation for the Mathews-Lakshmanan Oscillator

被引：2

作者：

Schulze-Halberg, Axel ^{[1
,2
]}

Wang, Jie ^{[3
]}

机构：

[1] Indiana Univ Northwest, Dept Math & Actuarial Sci, Gary, IN 46408 USA

[2] Indiana Univ Northwest, Dept Phys, Gary, IN 46408 USA

[3] Indiana Univ Northwest, Dept Comp Informat Syst, Gary, IN 46408 USA

来源：

FEW-BODY SYSTEMS | 2014年 / 55卷 / 12期

关键词：

POSITION-DEPENDENT MASS; NONLINEAR OSCILLATOR; POTENTIALS; VECTOR; MODEL;

D O I：

10.1007/s00601-014-0908-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a boundary-value problem for the Klein-Gordon equation that is inspired by the well-known Mathews-Lakshmanan oscillator model. By establishing a link to the spheroidal equation, we show that our problem admits an infinite number of discrete energies, together with associated solutions that form an orthogonal set in a weighted L (2)-Hilbert space.

引用

页码：1223 / 1232

页数：10

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