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Liouville's equation and the lattice sinh-Gordon model

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The equivalence of the Liouville lattice model and the massless version of the sinh-Gordon lattice model is established. Thus Liouville's equation is included in the class of systems to which the quantum method of the inverse problem is applicable. A Hamiltonian of the quantum lattice model is constructed.

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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 161, pp. 24–44, 1987.

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Volkov, A.Y. Liouville's equation and the lattice sinh-Gordon model. J Math Sci 46, 2065–2077 (1989).

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  • Inverse Problem
  • Lattice Model
  • Quantum Method
  • Quantum Lattice
  • Quantum Lattice Model