Physics – Quantum Physics
Scientific paper
2007-07-22
Physics
Quantum Physics
13 pages
Scientific paper
We study the generalized harmonic oscillator which 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 system are given, they have the same forms as those for the usual harmonic oscillator with constant mass. The coherent state and the 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.
Chang-Ying Cai
Guo-Xing Ju
Zhong-Zhou Ren
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