Geodesic
Baxter $Q$-operators for the integrable discrete self-trapping chain
Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 2, pp. 310-321

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For the integrable discrete self-trapping chain, we construct Baxter $Q$-operators as the traces of the monodromy of certain $M$-operators that act in the quantum and auxiliary spaces. With this procedure, we obtain two basic $M$-operators and derive some functional relations between them such as intertwining relations and Wronskian-type relations between two basic $Q$-operators.
Keywords: integrable chains, algebraic Bethe ansatz, functional equations. 
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     author = {A. E. Kovalsky and G. P. Pron'ko},
     title = {Baxter $Q$-operators for the integrable discrete self-trapping chain},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {310--321},
     publisher = {mathdoc},
     volume = {142},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_142_2_a8/}
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A. E. Kovalsky; G. P. Pron'ko. Baxter $Q$-operators for the integrable discrete self-trapping chain. Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 2, pp. 310-321. http://geodesic.mathdoc.fr/item/TMF_2005_142_2_a8/