%0 Journal Article %T Baxter Equation for Quantum Discrete Boussinesq Equation %A Kazuhiro Hikami %J Physics %D 2001 %I arXiv %R 10.1016/S0550-3213(01)00204-8 %X 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. %U http://arxiv.org/abs/nlin/0102021v1