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Instructive History of the Quantum Inverse Scattering Method

  • Chapter
Quantum Field Theory: Perspective and Prospective

Part of the book series: NATO Science Series ((ASIC,volume 530))

Abstract

Classical inverse scattering method was invented in course of investigation of the KdV equation [1] (100 years of which we recently celebrated). It was described in a short and famous now research letter by Gardner, Green, Kruskal and Miura [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.

Originally published in Acta Applicandae Mathematicae, 39, pp. 69-84 (1995). Reproduced here by kind permission of Kluwer Academic Publishers.

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Author information

Authors and Affiliations

  1. St. Petersburg branch of Stecklov Mathematical institute, Fontanka 27, St.Petersburg, Russia

    L. Faddeev

  2. Helsinki Institute of Physics, University of Helsinki, P.O. Box 9, FIN-00014, Finland

    L. Faddeev

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  1. L. Faddeev
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Editors and Affiliations

  1. Department of Physics and Center for Relativity, University of Texas, Austin, USA

    Cécile DeWitt-Morette

  2. CEA Saclay, Service de Physique Theorique, Gif-sur-Yvette Cedex, France

    Jean-Bernard Zuber

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Faddeev, L. (1999). Instructive History of the Quantum Inverse Scattering Method. In: DeWitt-Morette, C., Zuber, JB. (eds) Quantum Field Theory: Perspective and Prospective. NATO Science Series, vol 530. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4542-8_8

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  • DOI: https://doi.org/10.1007/978-94-011-4542-8_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-5673-8

  • Online ISBN: 978-94-011-4542-8

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