The coordinate transformation and the exact solutions of the Schrödinger equation with position-dependent effective mass

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dc.creatorJu, Guo-Xing
dc.creatorCai, Chang-Ying
dc.creatorXiang, Yang
dc.creatorRen, Zhong-Zhou
dc.date2005-12-31
dc.date.accessioned2026-07-07T07:00:13Z
dc.date.available2026-07-07T07:00:13Z
dc.descriptionUsing the coordinate transformation method, we solve the one-dimensional Schrödinger equation with position-dependent mass(PDM). The explicit expressions for the potentials, energy eigenvalues and eigenfunctions of the systems are given. The eigenfunctions can be expressed in terms of the Jacobi, Hemite and generalized Laguerre polynomials. All potentials for these solvable systems have an extra term $V_m$ which produced from the dependence of mass on the coordinate, compared with that for the systems of constant mass. The properties of $V_m$ for several mass functions are discussed.
dc.description19 pages,6 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0601004
dc.identifierhttp://arxiv.org/abs/quant-ph/0601004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107985
dc.subjectQuantum Physics
dc.titleThe coordinate transformation and the exact solutions of the Schrödinger equation with position-dependent effective mass
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