Multichannel coupling with supersymmetric quantum mechanics and exactly-solvable model for Feshbach resonance

Details Multichannel coupling with supersymmetric quantum mechanics and exactly-solvable model for Feshbach resonance Multichannel coupling with supersymmetric quantum mechanics and exactly-solvable model for Feshbach resonance

2006-01-16

arxiv.org/abs/quant-ph/0601101v2

J. Phys. A: Math. Gen. 39 (2006) L639 - L645

Physics

Quantum Physics

10 pages, 2 figures

Scientific paper

10.1088/0305-4470/39/45/L03

A new type of supersymmetric transformations of the coupled-channel radial Schroedinger equation is introduced, which do not conserve the vanishing behavior of solutions at the origin. Contrary to usual transformations, these ``non-conservative'' transformations allow, in the presence of thresholds, the construction of potentials with coupled scattering matrices from uncoupled potentials. As an example, an exactly-solvable potential matrix is obtained which provides a very simple model of Feshbach-resonance phenomenon.

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