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Darboux transformations for a system of coupled discrete Schrödinger equations

  • Elementary Particles and Fields
  • Theory
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Abstract

Darboux transformations and a factorization procedure are presented for a system of coupled finite-difference Schrödinger equations. The conformity between generalized Darboux transformations and the factorization method is established. Factorization chains and consequences of Darboux transformations are obtained for a system of coupled discrete Schrödinger equations. The proposed approach permits constructing a new series of potential matrices with known spectral characteristics for which coupled-channel discrete Schrödinger equations have exact solutions.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia

    A. A. Suzko

  2. Institute of Radiation Physics and Chemistry Problems, Byelorussian Academy of Sciences, Minsk, Belarus

    A. A. Suzko

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  1. A. A. Suzko
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Additional information

From Yadernaya Fizika, Vol. 65, No. 8, 2002, pp. 1591–1597.

Original English Text Copyright © 2002 by Suzko.

This article was submitted by the author in English.

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Suzko, A.A. Darboux transformations for a system of coupled discrete Schrödinger equations. Phys. Atom. Nuclei 65, 1553–1559 (2002). https://doi.org/10.1134/1.1501668

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