Exact solutions of effective-mass Schrodinger equations

Abstract

We outline a general method for obtaining exact solutions of Schrödinger 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.

16 pages article in LaTEX (uses standard article.sty). Please check http://www1.gantep.edu.tr/~ozer/ for other studies of Nuclear Physics Group at University of Gaziantep. To appear in Modern Physics Letters A

References in corpus (3)

• Supersymmetry and Quantum Mechanics
• Effective Mass of One 4he Atom in Liquid 3he
• Exact solvability of potentials with spatially dependent effective masses

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