Generalized Harmonic Oscillator and the Schrodinger Equation with Position-Dependent Mass

被引：1
|
作者：
Ju Guo-Xing [1 ]
Cai Chang-Ying [1 ,2 ]
Ren Zhong-Zhou [1 ]
机构：
[1] Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China
[2] Jinggangshan Univ, Dept Phys, Jian 343009, Jiangxi, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2009年 / 51卷 / 05期
基金：
中国国家自然科学基金;
关键词：
generalized harmonic oscillator; Schrodinger equation; position-dependent mass; coherent state; NONZERO MINIMAL UNCERTAINTIES; SUPERSYMMETRIC APPROACH; WAVE-FUNCTION; TRANSFORMATION; HAMILTONIANS; PARTICLE; SYSTEMS;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the generalized harmonic oscillator that has both the position-dependent mass and the potential depending on the form of mass function in a more general framework. The explicit expressions of the eigenvalue and eigenfunction for such a system are given, they have the same forms as those for the usual harmonic oscillator with constant mass. The coherent state and its properties for the system with PDM are also discussed. We give the corresponding effective potentials for several mass functions, the systems with such potentials are isospectral to the usual harmonic oscillator.
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页码：797 / 802
页数：6
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