Nonlocal supersymmetric deformations of periodic potentials

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dc.creatorC., David J. Fernandez
dc.creatorMielnik, Bogdan
dc.creatorRosas-Ortiz, Oscar
dc.creatorSamsonov, Boris F.
dc.date2003-03-10
dc.date.accessioned2026-07-07T10:51:05Z
dc.date.available2026-07-07T10:51:05Z
dc.descriptionIrreducible second-order Darboux transformations are applied to the periodic Schrodinger's operators. It is shown that for the pairs of factorization energies inside of the same forbidden band they can create new non-singular potentials with periodicity defects and bound states embedded into the spectral gaps. The method is applied to the Lame and periodic piece-wise transparent potentials. An interesting phenomenon of translational Darboux invariance reveals nonlocal aspects of the supersymmetric deformations.
dc.description15 pages, latex, 9 postscript figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0303051
dc.identifierhttp://arxiv.org/abs/quant-ph/0303051
dc.identifierJ.Phys.A35:4279-4291,2002
dc.identifierdoi:10.1088/0305-4470/35/19/309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184743
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleNonlocal supersymmetric deformations of periodic potentials
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