Unitary Representations of Quantum Lorentz Group and Quantum Relativistic Toda Chain

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dc.creatorOlshanetsky, M. A.
dc.creatorRogov, V. -B. K.
dc.date2001-10-17
dc.date.accessioned2026-07-07T04:43:53Z
dc.date.available2026-07-07T04:43:53Z
dc.descriptionThe aim of this paper is to give a group theoretical interpretation of the three types of Bessel-Jackson functions. We consider a family of quantum Lorentz groups and a family of quantum Lobachevsky spaces. For three members of quantum Lobachevsky spaces the Casimir operators give rise to the two-body relativistic open Toda lattice Hamiltonians. Their eigen-functions are the modified Bessel-Jackson functions of three types. We construct the principal series of unitary irreducible representations of the quantum Lorentz groups. Special matrix elements in the irreducible spaces are the Bessel-Macdonald-Jackson functions. They are the wave functions of the two-body relativistic open Toda lattice. We obtain integral representations for these functions.
dc.descriptionLatex, 25 pages
dc.identifierhttps://arxiv.org/abs/math/0110182
dc.identifierhttp://arxiv.org/abs/math/0110182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62417
dc.subjectQuantum Algebra
dc.titleUnitary Representations of Quantum Lorentz Group and Quantum Relativistic Toda Chain
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