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

被引：0
|
作者：
Axel Schulze-Halberg
Jie Wang
机构：
[1] Indiana University Northwest,Department of Mathematics and Actuarial Science and Department of Physics
[2] Indiana University Northwest,Department of Computer Information Systems
来源：
Few-Body Systems | 2014年 / 55卷
关键词：
Gordon Equation; Continue Fraction Expansion; Nonrelativistic Quantum; Bound State Energy; Bound State Solution;
D O I：
暂无
中图分类号：
学科分类号：
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 L2-Hilbert space.
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页码：1223 / 1232
页数：9
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