Exact solutions of effective-mass Schrodinger equations

Details Exact solutions of effective-mass Schrodinger equations Exact solutions of effective-mass Schrodinger equations

2002-11-19

arxiv.org/abs/quant-ph/0211113v3

Modern Physics Letters A, Vol. 17, No. 37 (2002) 2453-2465

Physics

Quantum Physics

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

Scientific paper

10.1142/S0217732302008514

We outline a general method for obtaining exact solutions of Schr\"{o}dinger equations with a position dependent effective mass and compare the results with those obtained within the frame of supersymmetric quantum theory. We observe that the distinct effective mass Hamiltonians proposed in the literature in fact describe exactly equivalent systems having identical spectra and wave functions as far as exact solvability is concerned. This observation clarifies the Hamiltonian dependence of the band-offset ratio for quantum wells.

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