Exact solution of position dependent mass Schroedinger equation by supersymmetric quantum mechanics

Details Exact solution of position dependent mass Schroedinger equation by supersymmetric quantum mechanics Exact solution of position dependent mass Schroedinger equation by supersymmetric quantum mechanics

2004-10-12

arxiv.org/abs/quant-ph/0410088v1

Ann. Phys. (Leipzig) 12, (2003) 684-691

Physics

Quantum Physics

Scientific paper

10.1002/andp.200310031

A supersymmetric technique for the solution of the effective mass Schr\"{o}%
dinger equation is proposed. Exact solutions of the Schroedinger equation
corresponding to a number of potentials are obtained. The potentials are fully
isospectral with the original potentials. The conditions for the shape
invariance of the potentials are discussed.

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