Quantum relativistic Toda chain

G. Pronko; Sergei Sergeev

doi:10.1155/S1110757X01000055

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Home > Journals > J. Appl. Math. > Volume 1 > Issue 2 > Article

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

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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.