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5 August 2001 Quantum relativistic Toda chain
G. Pronko, Sergei Sergeev
J. Appl. Math. 1(2): 47-68 (5 August 2001). DOI: 10.1155/S1110757X01000055


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.


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G. Pronko. Sergei Sergeev. "Quantum relativistic Toda chain." J. Appl. Math. 1 (2) 47 - 68, 5 August 2001.


Published: 5 August 2001
First available in Project Euclid: 13 March 2003

zbMATH: 1109.82317
MathSciNet: MR1864296
Digital Object Identifier: 10.1155/S1110757X01000055

Primary: 37K15 , 82B23

Rights: Copyright © 2001 Hindawi

Vol.1 • No. 2 • 5 August 2001
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