On Baxter Q-operators for Toda Chain

Abstract

We suggest the procedure of the construction of Baxter Q-operators for Toda chain . Apart from the one-paramitric family of Q-operators, considered in our recent paper (hep-th/9908179) we also give the construction of two basic Q-operators and the derivation of the functional relations for these operators. Also we have found the relation of the basic Q-operators with Bloch solutions of the quantum linear problem.

LaTeX, 24 pages

References in corpus (2)

• Quantum Backlund transformation for the integrable DST model
• On The Baxter's Q - Operator for the XXX Spin Chain

Cited by in corpus (5)

• A Shortcut to the Q-Operator
• A Generalized Q-operator for U_q(\hat(sl_2)) Vertex Models
• Q-operator and factorised separation chain for Jack polynomials
• Baxter Q-operators for integrable DST chain
• Baxters's Q-operators for the simplest q-deformed model