Quantum relativistic Toda chain

G. P. Pronko, Sergei Sergeev

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 languageEnglish
Pages (from-to)47-68
Number of pages22
JournalJournal of Applied Mathematics
Volume1
Issue number2
DOIs
Publication statusPublished - 2001
Externally publishedYes

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R-matrix
Operator
Algebra
Wronskian
Weyl Algebra
Unit circle
Generator
Vertex of a graph
Model

Cite this

Pronko, G. P. ; Sergeev, Sergei. / Quantum relativistic Toda chain. In: Journal of Applied Mathematics. 2001 ; Vol. 1, No. 2. pp. 47-68.
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Quantum relativistic Toda chain. / Pronko, G. P.; Sergeev, Sergei.

In: Journal of Applied Mathematics, Vol. 1, No. 2, 2001, p. 47-68.

Research output: Contribution to journalArticle

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