Quantum relativistic Toda chain

G. P. Pronko, Sergei Sergeev

Research output: Contribution to journalArticle

5 Citations (Scopus)
1 Downloads (Pure)

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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