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
收藏
页码：1223 / 1232
页数：10
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