Multichannel generalization of eigen-phase preserving supersymmetric transformations

Abstract

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.

14 pages, 3 figures

References in corpus (5)

• Phase shift effective range expansion from supersymmetric quantum mechanics
• Exactly-solvable coupled-channel potential models of atom-atom magnetic Feshbach resonances from supersymmetric quantum mechanics
• Reconstructing the nucleon-nucleon potential by a new coupled-channel inversion method
• Supersymmetric transformations for coupled channels with threshold differences
• Eigenphase preserving two-channel SUSY transformations

Cited by in corpus (1)

• Single- and coupled-channel radial inverse scattering with supersymmetric transformations