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

Simple item page
dc.creatorGuo-Xing, Ju
dc.creatorChang-Ying, Cai
dc.creatorZhong-Zhou, Ren
dc.date2007-07-22
dc.date.accessioned2026-07-07T08:19:38Z
dc.date.available2026-07-07T08:19:38Z
dc.descriptionWe 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.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0707.3259
dc.identifierhttp://arxiv.org/abs/0707.3259
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134830
dc.subjectQuantum Physics
dc.titleGeneralized Harmonic Oscillator and the Schrödinger Equation with Position-Dependent Mass
dc.typetext

Files

Collections

arXiv