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The quantum Toda chain

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Non-Linear Equations in Classical and Quantum Field Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 226))

Abstract

The exact equations for the spectrum of the finite and infinite quantum Toda chains are derived. The method used does not need the existence of the pseudovacuum (reference) state and provides thus an alter native to the Bethe ansatz method. The results obtained are in good agreement with those of B. Sutherland and M. Gutzwiller.

(Laboratoire associé au CNRS LA 280)

On leave from Steklov Mathematical Institute, Leningrad, USSR.

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Authors and Affiliations

  1. Laboratoire de Physique Théorique et Hautes Eneriges, Université Pierre et Marie Curie, Tour 16 - 1er étage 4, place Jussieu, 75230, Paris Cedex 05, France

    E. K. Sklyanin

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  1. E. K. Sklyanin
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N. Sanchez

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© 1985 Springer-Verlag

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Sklyanin, E.K. (1985). The quantum Toda chain. In: Sanchez, N. (eds) Non-Linear Equations in Classical and Quantum Field Theory. Lecture Notes in Physics, vol 226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15213-X_80

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  • DOI: https://doi.org/10.1007/3-540-15213-X_80

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15213-2

  • Online ISBN: 978-3-540-39352-8

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