Exact Solutions of the Schrödinger Equation with Position-dependent Effective Mass via General Point Canonical Transformation

被引：0
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作者：
Cevdet Tezcan
Ramazan Sever
机构：
[1] Başkent University,Faculty of Engineering
[2] Middle East Technical University,Department of Physics
来源：
Journal of Mathematical Chemistry | 2007年 / 42卷
关键词：
position-dependent mass; point canonical transformation; effective mass Schrödinger equation; Rosen–Morse potential; Scarf potential; 03.65.-w; 03.65.Ge; 12.39.Fd;
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摘要：
Exact solutions of the Schrödinger equation are obtained for the Rosen–Morse and Scarf potentials with the position-dependent effective mass by appliying a general point canonical transformation. The general form of the point canonical transformation is introduced by using a free parameter. Two different forms of mass distributions are used. A set of the energy eigenvalues of the bound states and corresponding wave functions for target potentials are obtained as a function of the free parameter.
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页码：387 / 395
页数：8
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