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Hamiltonian structure of isospectral deformation equations. Elliptic curve case

2. Completely Integrable Systems

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Part of the Lecture Notes in Mathematics book series (LNM,volume 925)

Abstract

We continue the investigation of semiclassical limits of factorized S-matrices and Hamiltonian structure they induce on two dimensional isospectral deformation equations. Before [7] we dealt with rational Riemann surfaces. Here we propose a new class of semiclassical factorized S-matrices associated with an arbitrary elliptic curve and torsion subgroup of it. New two-dimensional field theories associated with them generalize both sin-Gordon and Baxter's systems.

Keywords

  • Elliptic Curve
  • Spectral Problem
  • Abelian Variety
  • Hamiltonian Structure
  • Torsion Subgroup

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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© 1982 Springer-Verlag

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Chudnovsky, D.V., Chudnovsky, G.V. (1982). Hamiltonian structure of isospectral deformation equations. Elliptic curve case. In: Chudnovsky, D.V., Chudnovsky, G.V. (eds) The Riemann Problem, Complete Integrability and Arithmetic Applications. Lecture Notes in Mathematics, vol 925. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093505

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  • DOI: https://doi.org/10.1007/BFb0093505

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11483-3

  • Online ISBN: 978-3-540-39152-4

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