Baxter Equation for Quantum Discrete Boussinesq Equation

Details Baxter Equation for Quantum Discrete Boussinesq Equation Baxter Equation for Quantum Discrete Boussinesq Equation

2001-02-19

arxiv.org/abs/nlin/0102021v1

Nucl.Phys.B604:580-602,2001

Nonlinear Sciences

Exactly Solvable and Integrable Systems

25 pages

Scientific paper

10.1016/S0550-3213(01)00204-8

Studied is the Baxter equation for the quantum discrete Boussinesq equation.
We explicitly construct the Baxter $\mathcal{Q}$ 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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