Separation of variables for the quantum relativistic Toda lattices

1994/02/18 by В. Б. Кузнецов, V. B. Kuznetsov, Kuznetsov, V. B. +2 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9402111

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

arxiv created 1994/02/18 · arxiv updated 2009/11/30

Abstract

We consider quantum analogs of the relativistic Toda lattices and give new 2× 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.

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