{"id":"https://openalex.org/W2041813845","doi":"https://doi.org/10.1007/s11128-011-0331-1","title":"Birman\u2013Wenzl\u2013Murakami algebra, topological parameter and Berry phase","display_name":"Birman\u2013Wenzl\u2013Murakami algebra, topological parameter and Berry phase","publication_year":2011,"publication_date":"2011-11-16","ids":{"openalex":"https://openalex.org/W2041813845","doi":"https://doi.org/10.1007/s11128-011-0331-1","mag":"2041813845"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-011-0331-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-011-0331-1","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Quantum Information Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062387129","display_name":"Chengcheng Zhou","orcid":"https://orcid.org/0000-0002-4351-4517"},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengcheng Zhou","raw_affiliation_strings":["School of Physics, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China","School of Physics, Northeast Normal University, Changchun, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Physics, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]},{"raw_affiliation_string":"School of Physics, Northeast Normal University, Changchun, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100511641","display_name":"Kang Xue","orcid":null},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kang Xue","raw_affiliation_strings":["School of Physics, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China","School of Physics, Northeast Normal University, Changchun, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Physics, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]},{"raw_affiliation_string":"School of Physics, Northeast Normal University, Changchun, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101894533","display_name":"Lidan Gou","orcid":"https://orcid.org/0009-0001-0491-4497"},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]},{"id":"https://openalex.org/I106645853","display_name":"Changchun University of Science and Technology","ror":"https://ror.org/007mntk44","country_code":"CN","type":"education","lineage":["https://openalex.org/I106645853"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lidan Gou","raw_affiliation_strings":["School of Physics, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China","School of Science, Changchun University of Science and Technology, Changchun, 130022, People\u2019s Republic of China","School of Science, Changchun University of Science and Technology, Changchun, People\u2019s Republic of China","School of Physics, Northeast Normal University, Changchun, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Physics, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]},{"raw_affiliation_string":"School of Science, Changchun University of Science and Technology, Changchun, 130022, People\u2019s Republic of China","institution_ids":["https://openalex.org/I106645853"]},{"raw_affiliation_string":"School of Science, Changchun University of Science and Technology, Changchun, People\u2019s Republic of China","institution_ids":["https://openalex.org/I106645853"]},{"raw_affiliation_string":"School of Physics, Northeast Normal University, Changchun, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022327946","display_name":"Chunfang Sun","orcid":"https://orcid.org/0000-0003-3079-0704"},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunfang Sun","raw_affiliation_strings":["School of Physics, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China","School of Physics, Northeast Normal University, Changchun, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Physics, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]},{"raw_affiliation_string":"School of Physics, Northeast Normal University, Changchun, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066280783","display_name":"Gangcheng Wang","orcid":"https://orcid.org/0000-0003-0157-210X"},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gangcheng Wang","raw_affiliation_strings":["School of Physics, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China","School of Physics, Northeast Normal University, Changchun, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Physics, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]},{"raw_affiliation_string":"School of Physics, Northeast Normal University, Changchun, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101792457","display_name":"Taotao Hu","orcid":"https://orcid.org/0000-0002-6188-8379"},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Taotao Hu","raw_affiliation_strings":["School of Physics, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China","School of Physics, Northeast Normal University, Changchun, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Physics, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]},{"raw_affiliation_string":"School of Physics, Northeast Normal University, Changchun, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100511641"],"corresponding_institution_ids":["https://openalex.org/I184983240"],"apc_list":{"value":2040,"currency":"EUR","value_usd":2690},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.10966168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"11","issue":"6","first_page":"1765","last_page":"1773"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9995999932289124,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9995999932289124,"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":0.9994999766349792,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/geometric-phase","display_name":"Geometric phase","score":0.8388608694076538},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.7187484502792358},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.6168718338012695},{"id":"https://openalex.org/keywords/unitary-matrix","display_name":"Unitary matrix","score":0.5772942900657654},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5055193901062012},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4950365126132965},{"id":"https://openalex.org/keywords/matrix-representation","display_name":"Matrix representation","score":0.4452960789203644},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4428870975971222},{"id":"https://openalex.org/keywords/berry","display_name":"Berry","score":0.43879202008247375},{"id":"https://openalex.org/keywords/quantum-algebra","display_name":"Quantum algebra","score":0.4176151752471924},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.359621524810791},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30724841356277466},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2887001037597656},{"id":"https://openalex.org/keywords/filtered-algebra","display_name":"Filtered algebra","score":0.24420154094696045},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.21159270405769348},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20552924275398254},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06594344973564148}],"concepts":[{"id":"https://openalex.org/C17269025","wikidata":"https://www.wikidata.org/wiki/Q3283","display_name":"Geometric phase","level":2,"score":0.8388608694076538},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.7187484502792358},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6168718338012695},{"id":"https://openalex.org/C96214315","wikidata":"https://www.wikidata.org/wiki/Q727103","display_name":"Unitary matrix","level":3,"score":0.5772942900657654},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5055193901062012},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4950365126132965},{"id":"https://openalex.org/C103275481","wikidata":"https://www.wikidata.org/wiki/Q6787889","display_name":"Matrix representation","level":3,"score":0.4452960789203644},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4428870975971222},{"id":"https://openalex.org/C2776034682","wikidata":"https://www.wikidata.org/wiki/Q13184","display_name":"Berry","level":2,"score":0.43879202008247375},{"id":"https://openalex.org/C15353042","wikidata":"https://www.wikidata.org/wiki/Q7269009","display_name":"Quantum algebra","level":4,"score":0.4176151752471924},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.359621524810791},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30724841356277466},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2887001037597656},{"id":"https://openalex.org/C169171071","wikidata":"https://www.wikidata.org/wiki/Q5449241","display_name":"Filtered algebra","level":3,"score":0.24420154094696045},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.21159270405769348},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20552924275398254},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06594344973564148},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11128-011-0331-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-011-0331-1","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Quantum Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W658811039","https://openalex.org/W1513992157","https://openalex.org/W1530042113","https://openalex.org/W1557190042","https://openalex.org/W1968757657","https://openalex.org/W1970288675","https://openalex.org/W1971010497","https://openalex.org/W1974385555","https://openalex.org/W1977099215","https://openalex.org/W1986358675","https://openalex.org/W1992593935","https://openalex.org/W1994510361","https://openalex.org/W1996716541","https://openalex.org/W1998580770","https://openalex.org/W1999462405","https://openalex.org/W2001710727","https://openalex.org/W2008791564","https://openalex.org/W2011208902","https://openalex.org/W2028343029","https://openalex.org/W2032070223","https://openalex.org/W2034056865","https://openalex.org/W2040557797","https://openalex.org/W2044154336","https://openalex.org/W2052372389","https://openalex.org/W2055183589","https://openalex.org/W2057004846","https://openalex.org/W2059023154","https://openalex.org/W2063481005","https://openalex.org/W2076099321","https://openalex.org/W2087024891","https://openalex.org/W2089173827","https://openalex.org/W2094389621","https://openalex.org/W2097780038","https://openalex.org/W2135273380","https://openalex.org/W2135745986","https://openalex.org/W2148790674","https://openalex.org/W2152240519","https://openalex.org/W2155365991","https://openalex.org/W2170552382","https://openalex.org/W2171460536","https://openalex.org/W2172159049","https://openalex.org/W2345419938","https://openalex.org/W3010075763","https://openalex.org/W3102596210","https://openalex.org/W4239559943","https://openalex.org/W4243289255","https://openalex.org/W4255075412"],"related_works":["https://openalex.org/W3215405849","https://openalex.org/W2347634775","https://openalex.org/W1875532927","https://openalex.org/W2389658230","https://openalex.org/W2036399754","https://openalex.org/W4320342837","https://openalex.org/W4239154741","https://openalex.org/W2003421263","https://openalex.org/W2028263615","https://openalex.org/W3098177829"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}