A new approach to the exact solutions of the effective mass Schrodinger equation

Details A new approach to the exact solutions of the effective mass Schrodinger equation A new approach to the exact solutions of the effective mass Schrodinger equation

2007-05-21

arxiv.org/abs/0705.2940v2

Int.J.Theor.Phys.47:1713,2008

Physics

Quantum Physics

14 pages

Scientific paper

10.1007/s10773-008-9806-y

Effective mass Schrodinger equation is solved exactly for a given potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function. The effective mass Schrodinger equation is also solved for the Morse potential transforming to the constant mass Schr\"{o}dinger equation for a potential. One can also get solution of the effective mass Schrodinger equation starting from the constant mass Schrodinger equation.

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