Exact solutions of effective-mass Schrodinger equations
Quantum Physics
2009-11-07 v3
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0211113,
title = {Exact solutions of effective-mass Schrodinger equations},
author = {Bulent Gonul and Okan Ozer and Besire Gonul and Fatma Uzgun},
journal= {arXiv preprint arXiv:quant-ph/0211113},
year = {2009}
}
Comments
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