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Hierarchy of Poisson brackets for elements of a scattering matrix

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Abstract

The infinite family of Poisson brackets \(\left\{ {S_{i_1 \kappa _1 } \left( {\lambda _1 } \right){\text{, }}S_{i_2 \kappa _2 } \left( {\lambda _2 } \right)} \right\}_{n{\text{ }}} \left( {n = 0,{\text{ }}1,{\text{ }}2,{\text{ }}...} \right)\) between the elements of a scattering matrix is calculated for the linear matrix spectral problem.

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Authors and Affiliations

  1. Institute of Nuclear Physics, 630090, Novosibirsk-90, USSR

    B. G. Konopelchenko & V. G. Dubrovsky

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  1. B. G. Konopelchenko
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  2. V. G. Dubrovsky
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Konopelchenko, B.G., Dubrovsky, V.G. Hierarchy of Poisson brackets for elements of a scattering matrix. Letters in Mathematical Physics 8, 273–277 (1984). https://doi.org/10.1007/BF00400497

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  • DOI: https://doi.org/10.1007/BF00400497

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