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Baxter Equation for Quantum Discrete Boussinesq Equation

Kazuhiro Hikami

nlin.SIarXiv:nlin/0102021

Abstract

Studied is the Baxter equation for the quantum discrete Boussinesq equation. We explicitly construct the Baxter Q operator from a generating function of the local integrals of motion of the affine Toda lattice field theory, and show that it solves the third order operator-valued difference equation.

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