Darboux transformations and hidden quadratic supersymmetry of the one-dimensional stationary Dirac equation

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dc.creatorDebergh, N.
dc.creatorPecheritsin, A. A.
dc.creatorSamsonov, B. F.
dc.creatorBossche, B. Van den
dc.date2001-11-30
dc.date.accessioned2026-07-07T06:03:16Z
dc.date.available2026-07-07T06:03:16Z
dc.descriptionA matricial Darboux operator intertwining two one-dimensional stationary Dirac Hamiltonians is constructed. This operator is such that the potential of the second Dirac Hamiltonian as well as the corresponding eigenfunctions are determined through the knowledge of only two eigenfunctions of the first Dirac Hamiltonian. Moreover this operator together with its adjoint and the two Hamiltonians generate a quadratic deformation of the superalgebra subtending the usual supersymmetric quantum mechanics. Our developments are illustrated on the free particle case and the generalized Coulomb interaction. In the latter case, a relativistic counterpart of shape-invariance is observed.
dc.description11 pages, no figure
dc.identifierhttps://arxiv.org/abs/quant-ph/0111163
dc.identifierhttp://arxiv.org/abs/quant-ph/0111163
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89873
dc.subjectQuantum Physics
dc.titleDarboux transformations and hidden quadratic supersymmetry of the one-dimensional stationary Dirac equation
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