Friday, January 18, 2013

1301.4199 (Andrey M. Pupasov-Maksimov)

Multichannel generalization of eigen-phase preserving supersymmetric
transformations
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Andrey M. Pupasov-Maksimov
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.
View original: http://arxiv.org/abs/1301.4199

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