The Hungry-Volterra Model --- The Classical and Quantum Integrable Structures

抄録

An extension of the Lotka-Volterra model, which we call the hungry-Volterramodel or the Bogoyavlensky lattice, is studied. We show that the model is integrable in both classical and quantum levels by use of the local Lax matrix.The relationship between the Lotka-Volterra model andsome integrable systems is briefly discussed.