{"id":"https://openalex.org/W2048301241","doi":"https://doi.org/10.1063/1.4903449","title":"Two new constraints for the cumulant matrix","display_name":"Two new constraints for the cumulant matrix","publication_year":2014,"publication_date":"2014-12-15","ids":{"openalex":"https://openalex.org/W2048301241","doi":"https://doi.org/10.1063/1.4903449","mag":"2048301241","pmid":"https://pubmed.ncbi.nlm.nih.gov/25527913"},"language":"en","primary_location":{"id":"doi:10.1063/1.4903449","doi":"https://doi.org/10.1063/1.4903449","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.4903449","pdf_url":null,"source":{"id":"https://openalex.org/S77047749","display_name":"The Journal of Chemical Physics","issn_l":"0021-9606","issn":["0021-9606","1089-7690","1520-9032"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Chemical Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"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/A5006100195","display_name":"Eloy Ramos\u2010Cordoba","orcid":"https://orcid.org/0000-0002-6558-7821","observed_orcids":["https://orcid.org/0000-0002-6558-7821"]},"institutions":[{"id":"https://openalex.org/I251424209","display_name":"Universitat de Girona","ror":"https://ror.org/01xdxns91","country_code":"ES","type":"education","lineage":["https://openalex.org/I251424209"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Eloy Ramos-Cordoba","raw_affiliation_strings":["Universitat de Girona 1 Institut de Qu\u00edmica Computacional i Cat\u00e0lisi (IQCC) and Department de Qu\u00edmica, , Campus de Montilivi, 17071 Girona, Catalonia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat de Girona 1 Institut de Qu\u00edmica Computacional i Cat\u00e0lisi (IQCC) and Department de Qu\u00edmica, , Campus de Montilivi, 17071 Girona, Catalonia, Spain","institution_ids":["https://openalex.org/I251424209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037755542","display_name":"Pedro Salvador","orcid":"https://orcid.org/0000-0003-1823-7295","observed_orcids":["https://orcid.org/0000-0003-1823-7295"]},"institutions":[{"id":"https://openalex.org/I251424209","display_name":"Universitat de Girona","ror":"https://ror.org/01xdxns91","country_code":"ES","type":"education","lineage":["https://openalex.org/I251424209"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Pedro Salvador","raw_affiliation_strings":["Universitat de Girona 1 Institut de Qu\u00edmica Computacional i Cat\u00e0lisi (IQCC) and Department de Qu\u00edmica, , Campus de Montilivi, 17071 Girona, Catalonia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat de Girona 1 Institut de Qu\u00edmica Computacional i Cat\u00e0lisi (IQCC) and Department de Qu\u00edmica, , Campus de Montilivi, 17071 Girona, Catalonia, Spain","institution_ids":["https://openalex.org/I251424209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067567870","display_name":"Mario Piris","orcid":"https://orcid.org/0000-0003-0222-2953","observed_orcids":["https://orcid.org/0000-0003-0222-2953"]},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]},{"id":"https://openalex.org/I47686490","display_name":"Donostia International Physics Center","ror":"https://ror.org/02e24yw40","country_code":"ES","type":"other","lineage":["https://openalex.org/I47686490"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Mario Piris","raw_affiliation_strings":["Euskal Herriko Unibertsitatea UPV/EHU 2 Kimika Fakultatea, , and Donostia International Physics Center (DIPC). P.K. 1072, 20080 Donostia, Euskadi, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Euskal Herriko Unibertsitatea UPV/EHU 2 Kimika Fakultatea, , and Donostia International Physics Center (DIPC). P.K. 1072, 20080 Donostia, Euskadi, Spain","institution_ids":["https://openalex.org/I169108374","https://openalex.org/I47686490"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069644493","display_name":"Eduard Matito","orcid":"https://orcid.org/0000-0001-6895-4562","observed_orcids":["https://orcid.org/0000-0001-6895-4562"]},"institutions":[{"id":"https://openalex.org/I251424209","display_name":"Universitat de Girona","ror":"https://ror.org/01xdxns91","country_code":"ES","type":"education","lineage":["https://openalex.org/I251424209"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Eduard Matito","raw_affiliation_strings":["Universitat de Girona 1 Institut de Qu\u00edmica Computacional i Cat\u00e0lisi (IQCC) and Department de Qu\u00edmica, , Campus de Montilivi, 17071 Girona, Catalonia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat de Girona 1 Institut de Qu\u00edmica Computacional i Cat\u00e0lisi (IQCC) and Department de Qu\u00edmica, , Campus de Montilivi, 17071 Girona, Catalonia, Spain","institution_ids":["https://openalex.org/I251424209"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":1.326,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.77824323,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":98},"biblio":{"volume":"141","issue":"23","first_page":"234101","last_page":"234101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10002","display_name":"Advanced Chemical Physics Studies","score":0.9955999851226807,"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/T10002","display_name":"Advanced Chemical Physics Studies","score":0.9955999851226807,"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/T10523","display_name":"Atomic and Molecular Physics","score":0.0005000000237487257,"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/T11804","display_name":"Quantum many-body systems","score":0.0005000000237487257,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/two-particle-cumulants","display_name":"two-particle cumulants","score":0.8240000009536743},{"id":"https://openalex.org/keywords/n-representability","display_name":"N-representability","score":0.7789999842643738},{"id":"https://openalex.org/keywords/electron-correlation","display_name":"electron correlation","score":0.5239999890327454}],"concepts":[{"id":"https://openalex.org/C172686274","wikidata":"https://www.wikidata.org/wiki/Q746007","display_name":"Cumulant","level":2,"score":0.8782541155815125},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.6109078526496887},{"id":"https://openalex.org/C155675718","wikidata":"https://www.wikidata.org/wiki/Q161254","display_name":"Angular momentum","level":2,"score":0.5668565034866333},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.5428692102432251},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5405048727989197},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.538912832736969},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.5376729965209961},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.5132336616516113},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4530782103538513},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4429722726345062},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36207640171051025},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3565766215324402},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33340299129486084},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2555166780948639},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18007498979568481},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.105081707239151},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07498538494110107},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0}],"mesh":[],"locations_count":11,"locations":[{"id":"doi:10.1063/1.4903449","doi":"https://doi.org/10.1063/1.4903449","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.4903449","pdf_url":null,"source":{"id":"https://openalex.org/S77047749","display_name":"The Journal of Chemical Physics","issn_l":"0021-9606","issn":["0021-9606","1089-7690","1520-9032"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Chemical Physics","raw_type":"journal-article"},{"id":"pmid:25527913","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/25527913","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of chemical physics","raw_type":"Journal Article"},{"id":"pmh:oai:dnet:dugidocsuniv::23ab843190e57088f7b13f4a8ba80e22","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10256/10337","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dugi-doc.udg.edu:10256/10337","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10256/10337","pdf_url":null,"source":{"id":"https://openalex.org/S4306401633","display_name":"Universitat de Girona Digital Repository (Universitat de Girona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I251424209","host_organization_name":"Universitat de Girona","host_organization_lineage":["https://openalex.org/I251424209"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Articles publicats (D-Q)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:mdx.cat:10503/61511","doi":null,"is_oa":false,"landing_page_url":"http://doi.org/10.1063/1.4903449","pdf_url":null,"source":{"id":"https://openalex.org/S4306400303","display_name":"Repositori UJI (Universitat Jaume I)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I10902133","host_organization_name":"Universitat Jaume I","host_organization_lineage":["https://openalex.org/I10902133"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:www.mdx.cat:10503/47291","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10256/10337","pdf_url":null,"source":{"id":"https://openalex.org/S4306400303","display_name":"Repositori UJI (Universitat Jaume I)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I10902133","host_organization_name":"Universitat Jaume I","host_organization_lineage":["https://openalex.org/I10902133"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-05786188v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-05786188","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Journal of Chemical Physics, 2014, 141 (23), ⟨10.1063/1.4903449⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:recercat.cat:2072/312475","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/2072/312475","pdf_url":null,"source":{"id":"https://openalex.org/S4306402147","display_name":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210090028","host_organization_name":"Consorci de Serveis Universitaris de Catalunya","host_organization_lineage":["https://openalex.org/I4210090028"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:recercat.cat:2072/320722","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/2072/320722","pdf_url":null,"source":{"id":"https://openalex.org/S4306402147","display_name":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210090028","host_organization_name":"Consorci de Serveis Universitaris de Catalunya","host_organization_lineage":["https://openalex.org/I4210090028"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:recercat.cat:2072/325421","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10256/10337","pdf_url":null,"source":{"id":"https://openalex.org/S4306402147","display_name":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210090028","host_organization_name":"Consorci de Serveis Universitaris de Catalunya","host_organization_lineage":["https://openalex.org/I4210090028"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:recercat.cat:2072/372552","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/2072/372552","pdf_url":null,"source":{"id":"https://openalex.org/S4306402147","display_name":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210090028","host_organization_name":"Consorci de Serveis Universitaris de Catalunya","host_organization_lineage":["https://openalex.org/I4210090028"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2614496703","display_name":"Development of new non-empirical DFT functionals","funder_award_id":"294240","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G283272938","display_name":null,"funder_award_id":"CTQ2011-23156/BQU","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G7169833883","display_name":null,"funder_award_id":"CTQ2011-23441/BQU","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321705","display_name":"Eusko Jaurlaritza","ror":"https://ror.org/00pz2fp31"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":null},{"id":"https://openalex.org/F4320323868","display_name":"Barcelona Supercomputing Center","ror":"https://ror.org/05sd8tv96"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1964461029","https://openalex.org/W1971274572","https://openalex.org/W1973872176","https://openalex.org/W1985395176","https://openalex.org/W1985507890","https://openalex.org/W1989864846","https://openalex.org/W1991135212","https://openalex.org/W2003664931","https://openalex.org/W2016511889","https://openalex.org/W2030654389","https://openalex.org/W2043724283","https://openalex.org/W2045791614","https://openalex.org/W2050170853","https://openalex.org/W2058221878","https://openalex.org/W2059544699","https://openalex.org/W2064584618","https://openalex.org/W2065632646","https://openalex.org/W2065773944","https://openalex.org/W2066928521","https://openalex.org/W2080760397","https://openalex.org/W2084395435","https://openalex.org/W2085046562","https://openalex.org/W2104254324","https://openalex.org/W2106731465","https://openalex.org/W2315164312","https://openalex.org/W2316372932","https://openalex.org/W2324574034","https://openalex.org/W2326995787","https://openalex.org/W4231455356"],"related_works":["https://openalex.org/W1973872176","https://openalex.org/W1971274572","https://openalex.org/W7172382944","https://openalex.org/W2106731465","https://openalex.org/W7170714113","https://openalex.org/W2025754275","https://openalex.org/W2004606586","https://openalex.org/W2316372932","https://openalex.org/W1966734529","https://openalex.org/W2912025079"],"abstract_inverted_index":{"We":[0],"suggest":[1],"new":[2],"strict":[3],"constraints":[4,13,42,65,146],"that":[5,112,159],"the":[6,17,28,44,69,80,86,106,124,129,135,152,166,169,172],"two-particle":[7],"cumulant":[8,45,136,157],"matrix":[9],"should":[10],"fulfill.":[11],"The":[12,38,145],"are":[14,66,78],"obtained":[15],"from":[16],"decomposition":[18],"of":[19,31,71,101,110,118,123,156,171],"\\documentclass[12pt]{minimal}\\begin{document}$\\langle":[20,97,177],"\\hat{S}^{\\,2}\\rangle$\\end{document}\u27e8S\u03022\u27e9,":[21],"previously":[22,161],"developed":[23],"in":[24,85,134],"our":[25],"laboratory,":[26],"and":[27,154],"vanishing":[29],"number":[30],"electrons":[32],"shared":[33],"by":[34],"two":[35],"non-interacting":[36],"fragments.":[37],"conditions":[39,163],"impose":[40],"stringent":[41],"into":[43],"structure":[46,109],"without":[47],"any":[48],"need":[49],"to":[50,142],"perform":[51],"an":[52,148],"orbital":[53,74],"optimization":[54],"procedure":[55],"thus":[56,138],"carrying":[57],"very":[58],"small":[59],"or":[60,168],"no":[61],"computational":[62],"effort.":[63],"These":[64],"tested":[67],"on":[68],"series":[70],"Piris":[72],"natural":[73],"functionals":[75],"(PNOF),":[76],"which":[77],"among":[79],"most":[81,130],"accurate":[82],"ones":[83],"available":[84],"literature.":[87],"Interestingly,":[88],"even":[89],"though":[90],"all":[91],"PNOF":[92],"cumulants":[93],"ensure":[94],"correct":[95],"overall":[96],"\\hat{S}^{\\,2}\\rangle$\\end{document}\u27e8S\u03022\u27e9":[98],"values,":[99],"none":[100],"them":[102],"is":[103],"consistent":[104],"with":[105],"local":[107,125],"spin":[108,126,174],"systems":[111],"dissociate":[113],"more":[114],"than":[115],"one":[116],"pair":[117],"electrons.":[119],"A":[120],"careful":[121],"analysis":[122],"components":[127],"reveals":[128],"important":[131],"missing":[132],"contributions":[133],"expression":[137],"suggesting":[139],"a":[140],"means":[141],"improve":[143],"PNOF5.":[144],"provide":[147],"inexpensive":[149],"tool":[150],"for":[151],"construction":[153],"testing":[155],"structures":[158],"complement":[160],"known":[162],"such":[164],"as":[165],"N-representability":[167],"square":[170],"total":[173],"angular":[175],"momentum,":[176],"\\hat{S}^{\\,2}\\rangle$\\end{document}\u27e8S\u03022\u27e9.":[178]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":5}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}