Supersymmetric transformations for coupled channels with threshold differences

dc.creatorSamsonov, Boris F
dc.creatorSparenberg, Jean-Marc
dc.creatorBaye, Daniel
dc.date2006-12-10
dc.date2007-03-23
dc.date.accessioned2026-07-07T10:22:28Z
dc.date.available2026-07-07T10:22:28Z
dc.descriptionThe asymptotic behaviour of the superpotential of general SUSY transformations for a coupled-channel Hamiltonian with different thresholds is analyzed. It is shown that asymptotically the superpotential can tend to a diagonal matrix with an arbitrary number of positive and negative entries depending on the choice of the factorization solution. The transformation of the Jost matrix is generalized to "non-conservative" SUSY transformations introduced in Sparenberg et al (2006 J. Phys. A: Math. Gen. 39 L639). Applied to the zero initial potential the method permits to construct superpartners with a nontrivially coupled Jost-matrix. Illustrations are given for two- and three-channel cases.
dc.description17 pages, 3 explicit examples and figures added
dc.identifierhttps://arxiv.org/abs/math-ph/0612029
dc.identifierhttp://arxiv.org/abs/math-ph/0612029
dc.identifierJ.Phys.A40:4225-4240,2007
dc.identifierdoi:10.1088/1751-8113/40/15/013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175526
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleSupersymmetric transformations for coupled channels with threshold differences
dc.typetext

Files

Collections