Separation of variables for the quantum relativistic Toda lattices

Abstract

We consider quantum analogs of the relativistic Toda lattices and give new $2\times 2$ $L$-operators for these models. Making use of the variable separation the spectral problem for the quantum integrals of motion is reduced to solving one-dimensional separation equations.

13 pp., AMSTex, Report 94-07, Mathematical preprint series, University of Amsterdam