Quantum relativistic Toda chain

G. Pronko and Sergei Sergeev

Journal of Applied Mathematics, 2001, vol. 1, 1-22

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:648234

DOI: 10.1155/S1110757X01000055

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