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Instructive History of the Quantum Inverse Scattering Method

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KdV ’95

Abstract

The classical inverse scattering method was invented during the course of investigation of the KdV equation [1] (100 years of which we celebrate). It was described in a short and famous research letter by Gardner, Green, Kruskal, and Miura (GGKM) [2] in 1967. Its quantum version, which is ten years younger, was devised mostly in Leningrad (now St. Petersburg). In what follows, I shall underline some highlights and lessons of this latter development.

Mathematics Subject Classifications (1991): 58F07.

The preparation of this report was partly supported by the ISF grant R2H000.

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Authors and Affiliations

  1. St. Petersburg Branch, Steklov Mathematical Institute, Fontanka 27, St. Petersburg, Russia

    L. Faddeev

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  1. L. Faddeev
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Michiel Hazewinkel Hans W. Capel Eduard M. de Jager

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Faddeev, L. (1995). Instructive History of the Quantum Inverse Scattering Method. In: Hazewinkel, M., Capel, H.W., de Jager, E.M. (eds) KdV ’95. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0017-5_3

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  • DOI: https://doi.org/10.1007/978-94-011-0017-5_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4011-2

  • Online ISBN: 978-94-011-0017-5

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