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Coupled-channel supersymmetric quantum mechanics

R. D. Amado, Francesco Cannata, and Jean-Pierre Dedonder
Phys. Rev. A 38, 3797(R) – Published 1 October 1988
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Abstract

We show how to generalize supersymmetric quantum mechanics to coupled two-body channels. For the case with different thresholds for each channel we obtain simple relations between S-matrix elements of the original problem and its supersymmetric partner in a given partial wave. We find corresponding relations among reflection and transmission coefficients for one-dimensional scattering. These relations are obtained without a knowledge of the dynamical details.

  • Received 9 June 1988

DOI:https://doi.org/10.1103/PhysRevA.38.3797

©1988 American Physical Society

Authors & Affiliations

R. D. Amado

  • Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104

Francesco Cannata

  • Dipartimento di Fisica and Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, 40126 Bologna, Italy

Jean-Pierre Dedonder*

  • Division de Physique Theorique, Institut de Physique Nucléaire, Orsay, France
  • Laboratoire de Physique Nucléaire, Université de Paris 7, Paris, France

  • *Postal address: Laboratoire de Physique Nucléaire, T 14/24-5eme et., Université de Paris 7, 2 Place Jussieu, F-75251 Paris Cedex 05, France.

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Vol. 38, Iss. 7 — October 1988

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