2002/11/21 by Bulent Gonul, Búlent Gönül, Okan Özer +5 · 4 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #quant-ph
paper · pdf · doi:10.1142/s0217732302008514
published as Modern Physics Letters A, Vol. 17, No. 37 (2002) 2453-2465 · 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
arxiv created 2002/11/21 · openalex publication_date 2002/12/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.