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Nonlinear Sciences > Exactly Solvable and Integrable Systems

arXiv:nlin/0307040 (nlin)
[Submitted on 22 Jul 2003]

Title:Baxters's Q-operators for the simplest q-deformed model

Authors:A.E. Kovalsky, G.P. Pronko
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Abstract: In the present paper we describe the procedure of the Q-operators construction for the q-deformed model, described by the Lax operator, which is important to formulate the Bethe ansatz for the Sin-Gordon model. This Lax operator can also be considered as some massless limit of the Lax operator of SG model. We constructed two R-operators which are the universal intertwiners for the Lax operators. The traces of its monodromies over the auxiliary space are Baxter operators i.e. the operator solutions of T-Q equation. We also found the intertwining relations which imply the mutual commutativity of the corresponding Q-operators.
Comments: 11 pages
Subjects: Exactly Solvable and Integrable Systems (nlin.SI)
Cite as: arXiv:nlin/0307040 [nlin.SI]
  (or arXiv:nlin/0307040v1 [nlin.SI] for this version)
  https://doi.org/10.48550/arXiv.nlin/0307040

Submission history

From: Pronko George [view email]
[v1] Tue, 22 Jul 2003 16:53:03 UTC (8 KB)
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