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Multichannel generalization of eigen-phase preserving supersymmetric transformations

We generalize eigen-phase preserving (EPP) supersymmetric (SUSY) transformations to $N>2$ channel Schrödinger 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.

preprint2013arXivOpen access
Andrey M. Pupasov-Maksimov
math-phmath.MP
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Andrey M. Pupasov-Maksimov

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