Matrix Hamiltonians: SUSY approach to hidden symmetries

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dc.creatorAndrianov, A. A.
dc.creatorCannata, F.
dc.creatorNishnianidze, D. N.
dc.creatorIoffe, M. V.
dc.date1997-07-02
dc.date.accessioned2026-07-07T10:59:09Z
dc.date.available2026-07-07T10:59:09Z
dc.descriptionA new supersymmetric approach to the analysis of dynamical symmetries for matrix quantum systems is presented. Contrary to standard one dimensional quantum mechanics where there is no role for an additional symmetry due to nondegeneracy, matrix hamiltonians allow for non-trivial residual symmetries. This approach is based on a generalization of the intertwining relations familiar in SUSY Quantum Mechanics. The corresponding matrix supercharges, of first or of second order in derivatives, lead to an algebra which incorporates an additional block diagonal differential matrix operator (referred to as a "hidden" symmetry operator) found to commute with the superhamiltonian. We discuss some physical interpretations of such dynamical systems in terms of spin 1/2 particle in a magnetic field or in terms of coupled channel problem. Particular attention is paid to the case of transparent matrix potentials.
dc.description20 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/quant-ph/9707004
dc.identifierhttp://arxiv.org/abs/quant-ph/9707004
dc.identifierJ.Phys.A30:5037-5050,1997
dc.identifierdoi:10.1088/0305-4470/30/14/015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187354
dc.subjectQuantum Physics
dc.titleMatrix Hamiltonians: SUSY approach to hidden symmetries
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