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| related topics |
| {equation, function, exp} |
| {energy, state, states} |
| {field, particle, equation} |
| {wave, scattering, interference} |
| {energy, gaussian, time} |
| {operator, operators, space} |
| {state, phys, rev} |
| {spin, pulse, spins} |
| {temperature, thermal, energy} |
|
Supersymmetric approach to exactly solvable systems with
position-dependent effective masses
Besire Gonul, Bulent Gonul, Dilek Tutcu, Okan Ozer
abstract: 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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0211112
- categories:
- quant-ph
- comments:
- 12 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. [arXiv admin note: excessive overlap with
quant-ph/0306065 and "Supersymmetric approach to quantum systems with
position-dependent effective mass" by A. R. Plastino, A. Rigo, M. Casas, F.
Garcias, and A. Plastino - Phys. Rev. A 60, 4318 - 4325 (1999)]
- doi:
- 10.1142/S0217732302008563
- arxiv_id:
- quant-ph/0211112
- journal_ref:
- Modern Physics Letters A, Vol. 17, No. 31 (2002) 2057-2066
- created:
- 2002-11-19
- updated:
- 2002-11-20
Full article ▸
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