Supersymmetric approach to exactly solvable systems with position-dependent effective masses

Details Supersymmetric approach to exactly solvable systems with position-dependent effective masses Supersymmetric approach to exactly solvable systems with position-dependent effective masses

2002-11-19

arxiv.org/abs/quant-ph/0211112v2

Modern Physics Letters A, Vol. 17, No. 31 (2002) 2057-2066

Physics

Quantum Physics

12 pages article in LaTEX (uses standard article.sty). Please check http://www1.gantep.edu.tr/~ozer for other studies of Nucle

Scientific paper

10.1142/S0217732302008563

We discuss the relationship between exact solvability of the Schr\"{o}dinger equation with a position-dependent mass and the ordering ambiguity in the Hamiltonian operator within the frame of supersymmetric quantum mechanics. The one-dimensional Schr\"{o}dinger equation, derived from the general form of the effective mass Hamiltonian, is solved exactly for a system with exponentially changing mass in the presence of a potential with similar behaviour, and the corresponding supersymmetric partner Hamiltonians are related to the effective-mass Hamiltonians proposed in the literature.

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