PT-Symmetric Solutions of Schrödinger Equation with Position-Dependent Mass via Point Canonical Transformation |
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Authors: | Cevdet Tezcan Ramazan Sever |
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Institution: | (1) Faculty of Engineering, Başkent University, Baglıca Campus, Ankara, Turkey;(2) Department of Physics, Middle East Technical University, 06531 Ankara, Turkey |
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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. |
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Keywords: | Position-dependent mass Point canonical transformation Effective mass Schr?dinger equation Generalized harmonic oscillator Scarf potential |
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