## Journal of Applied Mathematics

### Quantum relativistic Toda chain

#### 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 $Qs$ is also calculated.

#### Article information

Source
J. Appl. Math., Volume 1, Number 2 (2001), 47-68.

Dates
First available in Project Euclid: 13 March 2003

https://projecteuclid.org/euclid.jam/1047575697

Digital Object Identifier
doi:10.1155/S1110757X01000055

Mathematical Reviews number (MathSciNet)
MR1864296

Zentralblatt MATH identifier
1109.82317

#### Citation

Pronko, G.; Sergeev, Sergei. Quantum relativistic Toda chain. J. Appl. Math. 1 (2001), no. 2, 47--68. doi:10.1155/S1110757X01000055. https://projecteuclid.org/euclid.jam/1047575697

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