Baxter Equation for Quantum Discrete Boussinesq Equation
arXiv:nlin/0102021 · doi:10.1016/S0550-3213(01)00204-8
Abstract
Studied is the Baxter equation for the quantum discrete Boussinesq equation. We explicitly construct the Baxter 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.
25 pages
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- Factorization of R-matrix and Baxter Q-operators for generic sl(N) spin chains
- Noncompact sl(N) spin chains: BGG-resolution, Q-operators and alternating sum representation for finite dimensional transfer matrices
- Integrable systems and AdS/CFT duality
- The ODE/IM correspondence and PT-symmetric quantum mechanics