Spectral properties of non-conservative multichannel SUSY partners of the zero potential
نویسندگان
چکیده
Spectral properties of a coupled N × N potential model obtained with the help of a single non-conservative supersymmetric (SUSY) transformation starting from a system of N radial Schrödinger equations with the zero potential and finite threshold differences between the channels are studied. The structure of the system of polynomial equations which determine the zeros of the Jost-matrix determinant is analyzed. In particular, we show that the Jost-matrix determinant has N2 zeros which may all correspond to virtual states. The number of bound states satisfies 0 ≤ nb ≤ N . The maximal number of resonances is nr = (N−1)2N−2. A perturbation technique for a small coupling approximation is developed. A detailed study of the inverse spectral problem is given for the 2× 2 case. PACS numbers: 03.65.Nk, 24.10.Eq
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تاریخ انتشار 2009