SUSY approach to Pauli Hamiltonians with an axial symmetry

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dc.creatorIoffe, M. V.
dc.creatorKuru, S.
dc.creatorNegro, J.
dc.creatorNieto, L . M.
dc.date2006-03-01
dc.date.accessioned2026-07-07T10:46:06Z
dc.date.available2026-07-07T10:46:06Z
dc.descriptionA two-dimensional Pauli Hamiltonian describing the interaction of a neutral spin-1/2 particle with a magnetic field having axial and second order symmetries, is considered. After separation of variables, the one-dimensional matrix Hamiltonian is analyzed from the point of view of supersymmetric quantum mechanics. Attention is paid to the discrete symmetries of the Hamiltonian and also to the Hamiltonian hierarchies generated by intertwining operators. The spectrum is studied by means of the associated matrix shape-invariance. The relation between the intertwining operators and the second order symmetries is established and the full set of ladder operators that complete the dynamical algebra is constructed.
dc.description18 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0603005
dc.identifierhttp://arxiv.org/abs/hep-th/0603005
dc.identifierJ.Phys.A39:6987-7001,2006
dc.identifierdoi:10.1088/0305-4470/39/22/013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183123
dc.subjectHigh Energy Physics - Theory
dc.subjectOther Condensed Matter
dc.subjectQuantum Physics
dc.titleSUSY approach to Pauli Hamiltonians with an axial symmetry
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