Solutions of the Gaudin Equation and Gaudin Algebras

dc.contributor.author Balantekin, AB
dc.contributor.author Dereli, T
dc.contributor.author Pehlivan, Yamac
dc.date.accessioned 2023-06-16T14:24:57Z
dc.date.available 2023-06-16T14:24:57Z
dc.date.issued 2005
dc.description.abstract Three well-known solutions of the Gaudin equation are obtained under a set of standard assumptions. By relaxing one of these assumptions, we introduce a class of mutually commuting Hamiltonians based on a different solution of the Gaudin equation. Application of the algebraic Bethe ansatz technique to diagonalize these Hamiltonians reveals a new infinite-dimensional complex Lie algebra. en_US
dc.identifier.doi 10.1088/0305-4470/38/25/007
dc.identifier.issn 0305-4470
dc.identifier.issn 1361-6447
dc.identifier.scopus 2-s2.0-21244479426
dc.identifier.uri https://doi.org/10.1088/0305-4470/38/25/007
dc.identifier.uri https://hdl.handle.net/20.500.14365/1806
dc.language.iso en en_US
dc.publisher Iop Publishing Ltd en_US
dc.relation.ispartof Journal of Physıcs A-Mathematıcal And General en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Models en_US
dc.title Solutions of the Gaudin Equation and Gaudin Algebras en_US
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Balantekin, Akif/0000-0002-2999-0111
gdc.author.id Balantekin, Akif Baha/0000-0002-2999-0111
gdc.author.id Dereli, Tekin/0000-0002-6244-6054
gdc.author.scopusid 7004112355
gdc.author.scopusid 7003495302
gdc.author.scopusid 16029526800
gdc.author.wosid Pehlivan, Yamaç/AAB-4220-2021
gdc.author.wosid Balantekin, Akif/AAB-8912-2022
gdc.author.wosid Dereli, Tekin/D-9294-2019
gdc.author.wosid Balantekin, Akif Baha/E-4776-2010
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gdc.bip.popularityclass C5
gdc.coar.access open access
gdc.coar.type text::journal::journal article
gdc.collaboration.industrial false
gdc.description.department İzmir Ekonomi Üniversitesi en_US
gdc.description.departmenttemp Univ Wisconsin, Dept Phys, Madison, WI 53706 USA; Koc Univ, Dept Phys, TR-34450 Istanbul, Turkey; Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey en_US
gdc.description.endpage 5707 en_US
gdc.description.issue 25 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality N/A
gdc.description.startpage 5697 en_US
gdc.description.volume 38 en_US
gdc.identifier.openalex W2034906504
gdc.identifier.wos WOS:000230884600009
gdc.index.type WoS
gdc.index.type Scopus
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gdc.oaire.diamondjournal false
gdc.oaire.impulse 1.0
gdc.oaire.influence 3.1672087E-9
gdc.oaire.isgreen true
gdc.oaire.keywords Nuclear Theory
gdc.oaire.keywords Strongly Correlated Electrons (cond-mat.str-el)
gdc.oaire.keywords FOS: Physical sciences
gdc.oaire.keywords Groups and algebras in quantum theory and relations with integrable systems
gdc.oaire.keywords BCS model
gdc.oaire.keywords Mathematical Physics (math-ph)
gdc.oaire.keywords Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
gdc.oaire.keywords Gaudin algebra
gdc.oaire.keywords Nuclear Theory (nucl-th)
gdc.oaire.keywords Condensed Matter - Strongly Correlated Electrons
gdc.oaire.keywords algebraic Bethe ansatz
gdc.oaire.keywords Gaudin equation
gdc.oaire.keywords Exactly solvable models; Bethe ansatz
gdc.oaire.keywords Mathematical Physics
gdc.oaire.popularity 2.8135614E-9
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gdc.oaire.sciencefields 01 natural sciences
gdc.oaire.sciencefields 0103 physical sciences
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gdc.opencitations.count 10
gdc.plumx.crossrefcites 7
gdc.plumx.mendeley 5
gdc.plumx.scopuscites 12
gdc.scopus.citedcount 12
gdc.virtual.author Pehli̇van, Yamaç
gdc.wos.citedcount 11
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