Supersymmetric transformations for coupled channels with threshold differences

Details Supersymmetric transformations for coupled channels with threshold differences Supersymmetric transformations for coupled channels with threshold differences

2006-12-10

arxiv.org/abs/math-ph/0612029v2

J.Phys.A40:4225-4240,2007

Physics

Mathematical Physics

17 pages, 3 explicit examples and figures added

Scientific paper

10.1088/1751-8113/40/15/013

The 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.

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