Multichannel generalization of eigen-phase preserving supersymmetric transformations
作者： Andrey M Pupasov-Maksimov
DOI: 10.1088/1751-8113/46/19/195201
关键词: Pure mathematics 、 Scattering 、 Parametric statistics 、 Hamiltonian (quantum mechanics) 、 Mathematics 、 Supersymmetry 、 Mathematical physics
摘要: 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 exist only in the case of even number channels, $N=2M$. A single transformation provides an $M(M-1)+2$ parametric deformation matrix Hamiltonian without affecting shifts scattering matrix.
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