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

A supersymmetric technique for the solution of the effective mass Schrödinger equation is proposed. Exact solutions of the Schrödinger equation corresponding to a number of potentials are obtained. The potentials are fully isospectral with the original potentials. The conditions for the shape invari...

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Bibliographic Details
Published in:Annalen der Physik 2003-12, Vol.12 (11-12), p.684-691
Main Authors: Koç, R., Tütüncüler, H.
Format: Article
Language:English
Subjects:
Effective mass
SUSY method
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Summary:A supersymmetric technique for the solution of the effective mass Schrödinger equation is proposed. Exact solutions of the Schrödinger 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.
ISSN:0003-3804
1521-3889
DOI:10.1002/andp.200310031