{"id":"https://openalex.org/W2010092901","doi":"https://doi.org/10.1007/s10955-010-9972-1","title":"Spin Operator Matrix Elements in the Superintegrable Chiral Potts Quantum Chain","display_name":"Spin Operator Matrix Elements in the Superintegrable Chiral Potts Quantum Chain","publication_year":2010,"publication_date":"2010-04-26","ids":{"openalex":"https://openalex.org/W2010092901","doi":"https://doi.org/10.1007/s10955-010-9972-1","mag":"2010092901"},"language":"en","primary_location":{"id":"doi:10.1007/s10955-010-9972-1","doi":"https://doi.org/10.1007/s10955-010-9972-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10955-010-9972-1","pdf_url":null,"source":{"id":"https://openalex.org/S185067381","display_name":"Journal of Statistical Physics","issn_l":"0022-4715","issn":["0022-4715","1572-9613"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Statistical Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0912.5027","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006740144","display_name":"N. Z. Iorgov","orcid":"https://orcid.org/0000-0002-2056-7608","observed_orcids":["https://orcid.org/0000-0002-2056-7608"]},"institutions":[{"id":"https://openalex.org/I4210155719","display_name":"Bogolyubov Institute for Theoretical Physics","ror":"https://ror.org/05q1wf970","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210155719"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"N. Iorgov","raw_affiliation_strings":["Bogolyubov Institute for Theoretical Physics, Kiev, 03143, Ukraine","Bogolyubov Institute for Theoretical Physics, Kiev, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bogolyubov Institute for Theoretical Physics, Kiev, 03143, Ukraine","institution_ids":["https://openalex.org/I4210155719"]},{"raw_affiliation_string":"Bogolyubov Institute for Theoretical Physics, Kiev, Ukraine","institution_ids":["https://openalex.org/I4210155719"]}]},{"author_position":"middle","author":{"id":null,"display_name":"S. Pakuliak","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"S. Pakuliak","raw_affiliation_strings":["Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Moscow region, Russia","Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Moscow region, Russia","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]}]},{"author_position":"middle","author":{"id":null,"display_name":"V. Shadura","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210155719","display_name":"Bogolyubov Institute for Theoretical Physics","ror":"https://ror.org/05q1wf970","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210155719"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"V. Shadura","raw_affiliation_strings":["Bogolyubov Institute for Theoretical Physics, Kiev, 03143, Ukraine","Bogolyubov Institute for Theoretical Physics, Kiev, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bogolyubov Institute for Theoretical Physics, Kiev, 03143, Ukraine","institution_ids":["https://openalex.org/I4210155719"]},{"raw_affiliation_string":"Bogolyubov Institute for Theoretical Physics, Kiev, Ukraine","institution_ids":["https://openalex.org/I4210155719"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Y. Tykhyy","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210155719","display_name":"Bogolyubov Institute for Theoretical Physics","ror":"https://ror.org/05q1wf970","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210155719"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Y. Tykhyy","raw_affiliation_strings":["Bogolyubov Institute for Theoretical Physics, Kiev, 03143, Ukraine","Bogolyubov Institute for Theoretical Physics, Kiev, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bogolyubov Institute for Theoretical Physics, Kiev, 03143, Ukraine","institution_ids":["https://openalex.org/I4210155719"]},{"raw_affiliation_string":"Bogolyubov Institute for Theoretical Physics, Kiev, Ukraine","institution_ids":["https://openalex.org/I4210155719"]}]},{"author_position":"last","author":{"id":null,"display_name":"G. von Gehlen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"G. von Gehlen","raw_affiliation_strings":["Physikalisches Institut, Universit\u00e4t Bonn, Bonn, Germany","Physikalisches Institut, Universit\u00e4t Bonn, Nussallee 12, 53115, Bonn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physikalisches Institut, Universit\u00e4t Bonn, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Physikalisches Institut, Universit\u00e4t Bonn, Nussallee 12, 53115, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":2.5764,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.9001622,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"139","issue":"5","first_page":"743","last_page":"768"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.6894999742507935,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.6894999742507935,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.2565999925136566,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.01860000006854534,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/onsager-algebra","display_name":"Onsager algebra","score":0.8980000019073486},{"id":"https://openalex.org/keywords/superintegrable-systems","display_name":"superintegrable systems","score":0.722000002861023},{"id":"https://openalex.org/keywords/z-n-symmetry","display_name":"Z_N symmetry","score":0.6819999814033508},{"id":"https://openalex.org/keywords/irreducible-representations","display_name":"irreducible representations","score":0.6850000023841858},{"id":"https://openalex.org/keywords/thermodynamic-limit","display_name":"thermodynamic limit","score":0.9599999785423279},{"id":"https://openalex.org/keywords/separation-of-variables","display_name":"separation of variables","score":0.9639999866485596}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6636999845504761},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6230999827384949},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5666999816894531},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5317000150680542},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.5299999713897705},{"id":"https://openalex.org/C122890649","wikidata":"https://www.wikidata.org/wiki/Q7834016","display_name":"Transfer matrix","level":2,"score":0.527999997138977},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.5209000110626221},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.4984999895095825},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.49219998717308044},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4616999924182892},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.45649999380111694},{"id":"https://openalex.org/C54021167","wikidata":"https://www.wikidata.org/wiki/Q1103484","display_name":"Thermodynamic limit","level":2,"score":0.4462999999523163},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.42010000348091125},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4108999967575073},{"id":"https://openalex.org/C107277493","wikidata":"https://www.wikidata.org/wiki/Q5101824","display_name":"Chiral Potts curve","level":4,"score":0.39329999685287476},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.37459999322891235},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.3693999946117401},{"id":"https://openalex.org/C191413488","wikidata":"https://www.wikidata.org/wiki/Q1892554","display_name":"Operator algebra","level":2,"score":0.3449000120162964},{"id":"https://openalex.org/C134440745","wikidata":"https://www.wikidata.org/wiki/Q1186765","display_name":"Ladder operator","level":4,"score":0.3422999978065491},{"id":"https://openalex.org/C98925819","wikidata":"https://www.wikidata.org/wiki/Q7235385","display_name":"Potts model","level":3,"score":0.3343999981880188},{"id":"https://openalex.org/C114852677","wikidata":"https://www.wikidata.org/wiki/Q899044","display_name":"Fock space","level":2,"score":0.31619998812675476},{"id":"https://openalex.org/C135715101","wikidata":"https://www.wikidata.org/wiki/Q3299275","display_name":"Hamiltonian matrix","level":4,"score":0.3009999990463257},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.2980000078678131},{"id":"https://openalex.org/C56911000","wikidata":"https://www.wikidata.org/wiki/Q831774","display_name":"Density matrix","level":3,"score":0.296999990940094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2815999984741211},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.28110000491142273},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2808000147342682},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.28040000796318054},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.27630001306533813},{"id":"https://openalex.org/C53702628","wikidata":"https://www.wikidata.org/wiki/Q3090317","display_name":"Classical limit","level":3,"score":0.272599995136261},{"id":"https://openalex.org/C159722891","wikidata":"https://www.wikidata.org/wiki/Q913323","display_name":"Separation of variables","level":3,"score":0.2696000039577484},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.2651999890804291},{"id":"https://openalex.org/C2778870898","wikidata":"https://www.wikidata.org/wiki/Q7577658","display_name":"Spins","level":2,"score":0.262800008058548},{"id":"https://openalex.org/C171972299","wikidata":"https://www.wikidata.org/wiki/Q6500908","display_name":"Self-adjoint operator","level":3,"score":0.2590000033378601}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10955-010-9972-1","doi":"https://doi.org/10.1007/s10955-010-9972-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10955-010-9972-1","pdf_url":null,"source":{"id":"https://openalex.org/S185067381","display_name":"Journal of Statistical Physics","issn_l":"0022-4715","issn":["0022-4715","1572-9613"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Statistical Physics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:0912.5027","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/0912.5027","pdf_url":"https://arxiv.org/pdf/0912.5027","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.0912.5027","doi":"https://doi.org/10.48550/arxiv.0912.5027","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.0912.5027","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0912.5027","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/0912.5027","pdf_url":"https://arxiv.org/pdf/0912.5027","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"},{"id":"https://openalex.org/F4320322892","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2010092901.pdf","grobid_xml":"https://content.openalex.org/works/W2010092901.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W18935515","https://openalex.org/W163664537","https://openalex.org/W1642942500","https://openalex.org/W1662113587","https://openalex.org/W1667052292","https://openalex.org/W1964073294","https://openalex.org/W1986765756","https://openalex.org/W1989395370","https://openalex.org/W1989584745","https://openalex.org/W1989995055","https://openalex.org/W1994918170","https://openalex.org/W2000860036","https://openalex.org/W2002761723","https://openalex.org/W2004457030","https://openalex.org/W2007677270","https://openalex.org/W2009631531","https://openalex.org/W2012643962","https://openalex.org/W2014636915","https://openalex.org/W2027533628","https://openalex.org/W2034152040","https://openalex.org/W2041524201","https://openalex.org/W2044022822","https://openalex.org/W2046704627","https://openalex.org/W2064291389","https://openalex.org/W2065180981","https://openalex.org/W2074044555","https://openalex.org/W2074670256","https://openalex.org/W2075087479","https://openalex.org/W2081846678","https://openalex.org/W2082081724","https://openalex.org/W2087755593","https://openalex.org/W2089761124","https://openalex.org/W2091476331","https://openalex.org/W2093848869","https://openalex.org/W2138070596","https://openalex.org/W2148759459","https://openalex.org/W2157821300","https://openalex.org/W2167440616","https://openalex.org/W2327437290","https://openalex.org/W2963461782","https://openalex.org/W2963575870","https://openalex.org/W3101120252","https://openalex.org/W3102024848","https://openalex.org/W3103155404","https://openalex.org/W4243439242","https://openalex.org/W4253081565","https://openalex.org/W6636515623"],"related_works":["https://openalex.org/W3103484448","https://openalex.org/W2007677270","https://openalex.org/W1989395370","https://openalex.org/W7099220051","https://openalex.org/W2065180981","https://openalex.org/W2095029243","https://openalex.org/W1983237421","https://openalex.org/W2027403744","https://openalex.org/W7147745696","https://openalex.org/W1994918170"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2016-06-24T00:00:00"}