Relativistic Toda chain

Details Relativistic Toda chain Relativistic Toda chain

2000-09-14

arxiv.org/abs/nlin/0009027v3

Nonlinear Sciences

Exactly Solvable and Integrable Systems

21 pages, Latex2e, references are given more accurately

Scientific paper

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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