Quantum chains with U$_{q}$(sl(2)) symmetry and unrestricted representations

We consider two-state (q^2=-1) and three-state (q^3=1) one-dimensional quantum spin chains with U_q(SL(2)) symmetry. Taking unrestricted representations (periodic, semi-periodic and nilpotent), we show which are the necessary conditions to obtain a Hermitian Hamiltonian.

Detalles Bibliográficos
Autores principales: Arnaudon, Daniel, Rittenberg, Vladimir
Lenguaje:eng
Publicado: 1993
Materias:
Particle Physics - Theory
General Theoretical Physics
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(93)91142-A
http://cds.cern.ch/record/246313
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author Arnaudon, Daniel
Rittenberg, Vladimir
author_facet Arnaudon, Daniel
Rittenberg, Vladimir
author_sort Arnaudon, Daniel
collection CERN
description We consider two-state (q^2=-1) and three-state (q^3=1) one-dimensional quantum spin chains with U_q(SL(2)) symmetry. Taking unrestricted representations (periodic, semi-periodic and nilpotent), we show which are the necessary conditions to obtain a Hermitian Hamiltonian.
id cern-246313
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1993
record_format invenio
spelling cern-2463132023-03-14T16:34:37Zdoi:10.1016/0370-2693(93)91142-Ahttp://cds.cern.ch/record/246313engArnaudon, DanielRittenberg, VladimirQuantum chains with U$_{q}$(sl(2)) symmetry and unrestricted representationsParticle Physics - TheoryGeneral Theoretical PhysicsWe consider two-state (q^2=-1) and three-state (q^3=1) one-dimensional quantum spin chains with U_q(SL(2)) symmetry. Taking unrestricted representations (periodic, semi-periodic and nilpotent), we show which are the necessary conditions to obtain a Hermitian Hamiltonian.We consider two-state ($q~2=-1$) and three-state ($q~3=1$) one-dimensional quantum spin chains with $U_q(SL(2))$ symmetry. Taking unrestricted (\typeB) representations (periodic, semi-periodic and nilpotent), we show which are the necessary conditions to obtain a Hermitian Hamiltonian.We consider two-state ($q~2=-1$) and three-state ($q~3=1$) one-dimensional quantum spin chains with $U_q(SL(2))$ symmetry. Taking unrestricted (\typeB) representations (periodic, semi-periodic and nilpotent), we show which are the necessary conditions to obtain a Hermitian Hamiltonian.We consider two-state ( q 2 =−1) and three-state ( q 3 = 1) one-dimensional quantum spin chains with U q (sl(2)) symmetry. Taking unrestricted (type B ) representations (periodic, semi-periodic and nipotent), we show which are the necessary conditions to obtain a Hermitian Hamiltonian.hep-th/9302088CERN-TH-6786-93CERN-TH-6786-93oai:cds.cern.ch:2463131993
spellingShingle Particle Physics - Theory
General Theoretical Physics
Arnaudon, Daniel
Rittenberg, Vladimir
Quantum chains with U$_{q}$(sl(2)) symmetry and unrestricted representations
title Quantum chains with U$_{q}$(sl(2)) symmetry and unrestricted representations
title_full Quantum chains with U$_{q}$(sl(2)) symmetry and unrestricted representations
title_fullStr Quantum chains with U$_{q}$(sl(2)) symmetry and unrestricted representations
title_full_unstemmed Quantum chains with U$_{q}$(sl(2)) symmetry and unrestricted representations
title_short Quantum chains with U$_{q}$(sl(2)) symmetry and unrestricted representations
title_sort quantum chains with u$_{q}$(sl(2)) symmetry and unrestricted representations
topic Particle Physics - Theory
General Theoretical Physics
url https://dx.doi.org/10.1016/0370-2693(93)91142-A
http://cds.cern.ch/record/246313
work_keys_str_mv AT arnaudondaniel quantumchainswithuqsl2symmetryandunrestrictedrepresentations
AT rittenbergvladimir quantumchainswithuqsl2symmetryandunrestrictedrepresentations

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