We investigate the integrable structure of the quantum Volterra model, which is a discretization of the Korteweg-de Vries equation. Based on Sklyanin's method we derive the Baxter equation, and then clarify a role of the "fundamental transfer matrix". We show that the fundamental transfer matrix also generates the integrals of motion for a lattice analogue of the sine-Gordon system.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)