{"id":"https://openalex.org/W35628043","doi":null,"title":"FORMULATION OF QUANTUM STATISTICAL MECHANICS AS A FUNCTION OF THE OCCUPATION NUMBERS","display_name":"FORMULATION OF QUANTUM STATISTICAL MECHANICS AS A FUNCTION OF THE OCCUPATION NUMBERS","publication_year":1960,"publication_date":"1960-04-25","ids":{"openalex":"https://openalex.org/W35628043","mag":"35628043"},"language":"en","primary_location":{"id":"mag:35628043","doi":null,"is_oa":false,"landing_page_url":"http://www.osti.gov/scitech/biblio/4182291-formulation-quantum-statistical-mechanics-function-occupation-numbers","pdf_url":null,"source":{"id":"https://openalex.org/S4306506721","display_name":"Compt. rend.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Compt. rend.","raw_type":null},"volume":null,"type":"article","indexed_in":[],"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/A5112789657","display_name":"Roger Balian","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. Balian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081126064","display_name":"Claude Bloch","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Claude Bloch","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5011768183","display_name":"C. De Dominicis","orcid":"https://orcid.org/0000-0001-9223-3247","observed_orcids":["https://orcid.org/0000-0001-9223-3247"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C. De Dominicis","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-9223-3247","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.47679999470710754,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.47679999470710754,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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":0.2078000009059906,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.17309999465942383,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/quantum-statistical-mechanics","display_name":"quantum statistical mechanics","score":0.9959999918937683},{"id":"https://openalex.org/keywords/occupation-numbers","display_name":"occupation numbers","score":0.9779999852180481},{"id":"https://openalex.org/keywords/self-consistent-potential","display_name":"self-consistent potential","score":0.9520000219345093},{"id":"https://openalex.org/keywords/creation-and-annihilation-operators","display_name":"creation and annihilation operators","score":0.8349999785423279},{"id":"https://openalex.org/keywords/thermodynamic-properties","display_name":"thermodynamic properties","score":0.8450000286102295},{"id":"https://openalex.org/keywords/quantum-systems","display_name":"quantum systems","score":0.5249999761581421}],"concepts":[{"id":"https://openalex.org/C34829970","wikidata":"https://www.wikidata.org/wiki/Q845260","display_name":"Quantum statistical mechanics","level":3,"score":0.6100782752037048},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5580172538757324},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.5367608666419983},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5207735896110535},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.514914870262146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5139126777648926},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5058062076568604},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4936743676662445},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4276863932609558},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.41931888461112976},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4100072383880615},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36280739307403564},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3565661311149597},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.34530338644981384},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22507312893867493},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17792856693267822},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:35628043","doi":null,"is_oa":false,"landing_page_url":"http://www.osti.gov/scitech/biblio/4182291-formulation-quantum-statistical-mechanics-function-occupation-numbers","pdf_url":null,"source":{"id":"https://openalex.org/S4306506721","display_name":"Compt. rend.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Compt. rend.","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W3023929567"],"related_works":["https://openalex.org/W2012020145","https://openalex.org/W2067113177","https://openalex.org/W1972383451","https://openalex.org/W4250191327","https://openalex.org/W638150614","https://openalex.org/W597502343","https://openalex.org/W1976485323","https://openalex.org/W2075009320","https://openalex.org/W4246593176","https://openalex.org/W7126278003"],"abstract_inverted_index":{"The":[0],"introduction":[1],"of":[2,8,21,28,36,43],"a":[3,41,48],"self-consistent":[4],"potential,":[5],"the":[6,19,26,33,37,44],"use":[7],"representation":[9],"diagrams":[10],"dependent":[11],"on'time":[12],"between":[13],"0":[14],"and":[15,18,30],"beta":[16],",":[17],"application":[20],"an":[22],"algebraic":[23],"theorem":[24],"on":[25],"operators":[27],"creation":[29],"absorption":[31],"permit":[32],"simple":[34],"expression":[35],"thermodynamic":[38],"magnitudes":[39],"as":[40],"function":[42],"occupation":[45],"number":[46],"for":[47],"quantum":[49],"system.":[50],"(tr-auth)":[51]},"counts_by_year":[],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2016-06-24T00:00:00"}
