Exact Solutions of the Schrödinger Equation with position-dependent effective mass via general point canonical transformation

Details Exact Solutions of the Schrödinger Equation with position-dependent effective mass via general point canonical transformation Exact Solutions of the Schrödinger Equation with position-dependent effective mass via general point canonical transformation

2006-04-06

arxiv.org/abs/quant-ph/0604041v1

J. Math. Chem. 42, 387(2007)

Physics

Quantum Physics

12 pages

Scientific paper

10.1007/s10773-007-9589-6

Exact solutions of the Schrodinger 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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