Relativistic Toda chain

Abstract

Investigated is the relativistic periodic Toda chain, to each site of which the ultra-local Weyl algebra is associated. Weyl's q we are considering here is restricted to be inside the unit circle. Quantum Lax operators of the model are intertwined by six vertex R-matrix. Both independent Baxter's Q-operators are constructed explicitly as seria over local Weyl generators. The operator-valued wronskian of Q-s is also calculated.

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