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

Cevdet Tezcand, Ramazan Sever

Published 2007-09-18Version 1

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.