{"id":"https://openalex.org/W1999644292","doi":"https://doi.org/10.1088/0305-4470/10/12/004","title":"Maximum weight vectors possess minimal uncertainty","display_name":"Maximum weight vectors possess minimal uncertainty","publication_year":1977,"publication_date":"1977-12-01","ids":{"openalex":"https://openalex.org/W1999644292","doi":"https://doi.org/10.1088/0305-4470/10/12/004","mag":"1999644292"},"language":"en","primary_location":{"id":"doi:10.1088/0305-4470/10/12/004","doi":"https://doi.org/10.1088/0305-4470/10/12/004","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0305-4470/10/12/004","pdf_url":"https://iopscience.iop.org/article/10.1088/0305-4470/10/12/004/pdf","source":{"id":"https://openalex.org/S4210167992","display_name":"Journal of Physics A Mathematical and General","issn_l":"0305-4470","issn":["0305-4470","1361-6447"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics A: Mathematical and General","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://iopscience.iop.org/article/10.1088/0305-4470/10/12/004/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056324138","display_name":"R. Delbourgo","orcid":"https://orcid.org/0000-0001-6477-1419","observed_orcids":["https://orcid.org/0000-0001-6477-1419"]},"institutions":[{"id":"https://openalex.org/I129801699","display_name":"University of Tasmania","ror":"https://ror.org/01nfmeh72","country_code":"AU","type":"education","lineage":["https://openalex.org/I129801699"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"R Delbourgo","raw_affiliation_strings":["Dept. of Phys., Univ. of Tasmania, Hobart, Tas., Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Phys., Univ. of Tasmania, Hobart, Tas., Australia","institution_ids":["https://openalex.org/I129801699"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015867204","display_name":"Jonathan Fox","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I129801699","display_name":"University of Tasmania","ror":"https://ror.org/01nfmeh72","country_code":"AU","type":"education","lineage":["https://openalex.org/I129801699"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"J R Fox","raw_affiliation_strings":["Dept. of Phys., Univ. of Tasmania, Hobart, Tas., Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Phys., Univ. of Tasmania, Hobart, Tas., Australia","institution_ids":["https://openalex.org/I129801699"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I129801699"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":61,"citation_normalized_percentile":{"value":0.13125997,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"10","issue":"12","first_page":"L233","last_page":"L235"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.4074999988079071,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.4074999988079071,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.16200000047683716,"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"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.09690000116825104,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/compact-lie-groups","display_name":"compact Lie groups","score":0.7730000019073486},{"id":"https://openalex.org/keywords/uncertainty-measures","display_name":"uncertainty measures","score":0.6949999928474426},{"id":"https://openalex.org/keywords/weight-space","display_name":"weight space","score":0.8370000123977661},{"id":"https://openalex.org/keywords/unitary-transformation","display_name":"unitary transformation","score":0.6869999766349792},{"id":"https://openalex.org/keywords/quantum-indeterminacy","display_name":"quantum uncertainty","score":0.35600000619888306}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6012216210365295},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5654414296150208},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5083600878715515},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44096267223358154},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4266549348831177},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3229064345359802},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1992635428905487},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.1407727301120758},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.05234566330909729},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1088/0305-4470/10/12/004","doi":"https://doi.org/10.1088/0305-4470/10/12/004","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0305-4470/10/12/004","pdf_url":"https://iopscience.iop.org/article/10.1088/0305-4470/10/12/004/pdf","source":{"id":"https://openalex.org/S4210167992","display_name":"Journal of Physics A Mathematical and General","issn_l":"0305-4470","issn":["0305-4470","1361-6447"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics A: Mathematical and General","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1088/0305-4470/10/12/004","doi":"https://doi.org/10.1088/0305-4470/10/12/004","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0305-4470/10/12/004","pdf_url":"https://iopscience.iop.org/article/10.1088/0305-4470/10/12/004/pdf","source":{"id":"https://openalex.org/S4210167992","display_name":"Journal of Physics A Mathematical and General","issn_l":"0305-4470","issn":["0305-4470","1361-6447"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics A: Mathematical and General","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1999644292.pdf","grobid_xml":"https://content.openalex.org/works/W1999644292.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W2054112388","https://openalex.org/W2101546653"],"related_works":["https://openalex.org/W7220682179","https://openalex.org/W2071780698","https://openalex.org/W7129764913","https://openalex.org/W2799720838","https://openalex.org/W2054112388","https://openalex.org/W1975808679","https://openalex.org/W7099093588","https://openalex.org/W2080615561","https://openalex.org/W2159206858","https://openalex.org/W2949450011"],"abstract_inverted_index":{"An":[0],"appropriate":[1],"uncertainty":[2],"measure":[3],"for":[4,35],"a":[5],"compact":[6],"Lie":[7],"group":[8],"is":[9,29,33],"the":[10,43],"invariant":[11],"dispersion":[12],"(":[13],"Delta":[14],"F)":[15],"2":[16],"=(g":[17],"rs":[18],"(F":[19],"r":[20,22],"-(F":[21,25],"))(F":[23],"s":[24,26],"))).":[27],"It":[28],"proven":[30],"that":[31],"it":[32],"minimized":[34],"maximum":[36],"weight":[37,44],"vectors":[38],"(of":[39],"greatest":[40],"length":[41],"in":[42],"space),":[45],"and":[46],"those":[47],"unitarily":[48],"related":[49],"to":[50],"them.":[51]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
