Year: 2007
Type: article
Abstract: The asymptotic behaviour of the superpotential of general SUSY transformations for a coupled-channel Hamiltonian with different thresholds is analysed. 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 the construction of superpartners with a nontrivially coupled Jost matrix. Illustrations are given for two- and three-channel cases.
Authors: Boris F Samsonov, Jean-Marc Sparenberg, Daniel Baye
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2086913082