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Relativistic Toda chain

G. Pronko·S. Sergeev
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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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G. Pronko, S. Sergeev. 2000-10-02. Relativistic Toda chain. https://arxiv.org/abs/nlin/0009027

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