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PT-Symmetric Solutions of Schrödinger Equation with Position-Dependent Mass via Point Canonical Transformation
Authors:Cevdet Tezcan  Ramazan Sever
Institution:(1) Faculty of Engineering, Başkent University, Baglıca Campus, Ankara, Turkey;(2) Department of Physics, Middle East Technical University, 06531 Ankara, Turkey
Abstract:PT-symmetric solutions of Schrödinger equation are obtained for the Scarf and generalized harmonic oscillator potentials with the position-dependent mass. A general point canonical transformation is applied by using a free parameter. Three 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.
Keywords:Position-dependent mass  Point canonical transformation  Effective mass Schr?dinger equation  Generalized harmonic oscillator  Scarf potential
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