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arxiv: 0709.2789 · v1 · submitted 2007-09-18 · 🪐 quant-ph

PT-symmetric Solutions of Schrodinger Equation with position-dependent mass via Point Canonical Transformation

classification 🪐 quant-ph
keywords masscanonicalequationfreeobtainedparameterpointposition-dependent
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PT-symmetric solutions of Schrodinger 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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