Supersymmetric transformations for coupled channels with threshold differences
数学物理
2008-11-26 v2 高能物理 - 理论
math.MP
量子物理
摘要
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.
引用
@article{arxiv.math-ph/0612029,
title = {Supersymmetric transformations for coupled channels with threshold differences},
author = {Boris F Samsonov and Jean-Marc Sparenberg and Daniel Baye},
journal= {arXiv preprint arXiv:math-ph/0612029},
year = {2008}
}
备注
17 pages, 3 explicit examples and figures added