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arxiv: quant-ph/0410088 · v1 · submitted 2004-10-12 · 🪐 quant-ph

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

classification 🪐 quant-ph
keywords potentialsequationexactmassschroedingersolutionsupersymmetricconditions
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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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