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Open Quantum Systems Decoherence

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

arXiv

Authors: Ju Guo-Xing, Cai Chang-Ying, Ren Zhong-Zhou

Year

2007

Paper ID

49607

Status

Preprint

Abstract Read

~2 min

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Abstract

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.

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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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0707.3259 [2] arXiv https://arxiv.org/abs/0707.3259 [3] Publisher https://arxiv.org/abs/0707.3259

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