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

作　　者：JU Guo-Xing CAI Chang-Ying REN Zhong-Zhou 

机构地区：[1]Department of Physics, Nanjing University, Nanjing 210093, China [2]Department of Physics, Jinggangshan University, Ji＇an 343009, China

出　　处：《Communications in Theoretical Physics》2009年第5期797-802,共6页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.10125521 and 60371013;the 973 National Basic Pesearch and Development Program of China under Contract No.G2000077400

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 corresponding effective potentials for several mass functions, for the system with PDM are also discussed. We give the the systems with such potentials are isospectral to the usual harmonic oscillator.

关 键 词：generalized harmonic oscillator Schr6dinger equation position-dependent mass coherent state 

分 类 号：O413.1[理学—理论物理] F273.2[理学—物理]