Quantum relativistic Toda chain

G. P. Pronko; Sergei Sergeev

doi:10.1155/S1110757X01000055

Quantum relativistic Toda chain

G. P. Pronko, Sergei Sergeev

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Abstract

Investigated is the quantum 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 R-matrix. Both independent Baxter's Q s is also calculated.

Original language	English
Pages (from-to)	47-68
Number of pages	22
Journal	Journal of Applied Mathematics
Volume	1
Issue number	2
DOIs	https://doi.org/10.1155/S1110757X01000055
Publication status	Published - 2001
Externally published	Yes

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Quantum relativistic Toda chain

Abstract

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