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arXiv · 1301.4199

Multichannel generalization of eigen-phase preserving supersymmetric transformations

Andrey M. Pupasov-Maksimov
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Abstract

We generalize eigen-phase preserving (EPP) supersymmetric (SUSY) transformations to $N>2$ channel Schr\"odinger equation with equal thresholds. It is established that EPP SUSY transformations exist only in the case of even number of channels, $N=2M$. A single EPP SUSY transformation provides an $M(M-1)+2$ parametric deformation of the matrix Hamiltonian without affecting eigen-phase shifts of the scattering matrix.

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Andrey M. Pupasov-Maksimov. 2013-01-17. Multichannel generalization of eigen-phase preserving supersymmetric transformations. https://doi.org/10.1088/1751-8113/46/19/195201

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