Shape-invariant quantum Hamiltonian with position-dependent effective mass through second order supersymmetry

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dc.creatorGanguly, A.
dc.creatorNieto, L. M.
dc.date2007-07-24
dc.date.accessioned2026-07-07T11:18:05Z
dc.date.available2026-07-07T11:18:05Z
dc.descriptionSecond order supersymmetric approach is taken to the system describing motion of a quantum particle in a potential endowed with position-dependent effective mass. It is shown that the intertwining relations between second order partner Hamiltonians may be exploited to obtain a simple shape-invariant condition. Indeed a novel relation between potential and mass functions is derived, which leads to a class of exactly solvable model. As an illustration of our procedure, two examples are given for which one obtains whole spectra algebraically. Both shape-invariant potentials exhibit harmonic-oscillator-like or singular-oscillator-like spectra depending on the values of the shape-invariant parameter.
dc.description16 pages, 5 figs; Present e-mail of AG: gangulyasish@rediffmail.com
dc.identifierhttps://arxiv.org/abs/0707.3624
dc.identifierhttp://arxiv.org/abs/0707.3624
dc.identifierJ.Phys.A40:7265-7281,2007
dc.identifierdoi:10.1088/1751-8113/40/26/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193227
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleShape-invariant quantum Hamiltonian with position-dependent effective mass through second order supersymmetry
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