{"id":"https://openalex.org/W1677242533","doi":"https://doi.org/10.1103/physreve.60.r5","title":"Dilute Bose gas revised","display_name":"Dilute Bose gas revised","publication_year":1999,"publication_date":"1999-07-01","ids":{"openalex":"https://openalex.org/W1677242533","doi":"https://doi.org/10.1103/physreve.60.r5","mag":"1677242533","pmid":"https://pubmed.ncbi.nlm.nih.gov/11969867"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.60.r5","doi":"https://doi.org/10.1103/physreve.60.r5","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.60.r5","pdf_url":null,"source":{"id":"https://openalex.org/S4210224030","display_name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","issn_l":"1063-651X","issn":["1063-651X","1095-3787","1538-4519"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/cond-mat/9903073","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023592233","display_name":"Alexander Yu. Cherny","orcid":"https://orcid.org/0000-0001-6190-2815","observed_orcids":["https://orcid.org/0000-0001-6190-2815"]},"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":"A. Yu. Cherny","raw_affiliation_strings":["Frank Laboratory of Neutron Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Frank Laboratory of Neutron Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia","institution_ids":["https://openalex.org/I32699454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002500883","display_name":"Arkady A Shanenko","orcid":"https://orcid.org/0000-0002-6031-5106","observed_orcids":["https://orcid.org/0000-0002-6031-5106"]},"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":"A. A. Shanenko","raw_affiliation_strings":["Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia","institution_ids":["https://openalex.org/I32699454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I32699454"],"apc_list":null,"apc_paid":null,"fwci":0.6733,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.641619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"60","issue":"1","first_page":"R5","last_page":"R8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.9800000190734863,"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/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.9800000190734863,"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":0.003800000064074993,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.003100000089034438,"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/dilute-bose-gas","display_name":"dilute Bose gas","score":1.0},{"id":"https://openalex.org/keywords/condensate-depletion","display_name":"condensate depletion","score":0.781000018119812},{"id":"https://openalex.org/keywords/reduced-density-matrices","display_name":"reduced density matrix","score":0.7689999938011169},{"id":"https://openalex.org/keywords/variational-methods","display_name":"variational methods","score":0.8510000109672546},{"id":"https://openalex.org/keywords/lennard-jones-potential","display_name":"Lennard-Jones potential","score":0.949999988079071},{"id":"https://openalex.org/keywords/hard-sphere-interactions","display_name":"hard-sphere interactions","score":0.574999988079071},{"id":"https://openalex.org/keywords/scattering-length","display_name":"scattering length","score":0.8690000176429749},{"id":"https://openalex.org/keywords/energy-per-particle","display_name":"energy per particle","score":0.6349999904632568},{"id":"https://openalex.org/keywords/zero-temperature","display_name":"zero temperature","score":0.675000011920929},{"id":"https://openalex.org/keywords/thermodynamic-inconsistency","display_name":"thermodynamic inconsistency","score":0.8330000042915344},{"id":"https://openalex.org/keywords/strong-interaction","display_name":"strong interaction","score":0.4129999876022339}],"concepts":[{"id":"https://openalex.org/C204514805","wikidata":"https://www.wikidata.org/wiki/Q1143503","display_name":"Bose gas","level":3,"score":0.7618100643157959},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.697502076625824},{"id":"https://openalex.org/C11577676","wikidata":"https://www.wikidata.org/wiki/Q134237","display_name":"Square root","level":2,"score":0.6947530508041382},{"id":"https://openalex.org/C79118098","wikidata":"https://www.wikidata.org/wiki/Q43101","display_name":"Boson","level":2,"score":0.6323506832122803},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.5529164671897888},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.45207926630973816},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.43721821904182434},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43289270997047424},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3974344730377197},{"id":"https://openalex.org/C37589322","wikidata":"https://www.wikidata.org/wiki/Q46202","display_name":"Bose\u2013Einstein condensate","level":2,"score":0.29951801896095276},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.2047353982925415},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16215083003044128},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07574284076690674},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/physreve.60.r5","doi":"https://doi.org/10.1103/physreve.60.r5","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.60.r5","pdf_url":null,"source":{"id":"https://openalex.org/S4210224030","display_name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","issn_l":"1063-651X","issn":["1063-651X","1095-3787","1538-4519"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},{"id":"pmid:11969867","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/11969867","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":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:cond-mat/9903073","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cond-mat/9903073","pdf_url":"https://arxiv.org/pdf/cond-mat/9903073","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.cond-mat/9903073","doi":"https://doi.org/10.48550/arxiv.cond-mat/9903073","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.cond-mat/9903073","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":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:cond-mat/9903073","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cond-mat/9903073","pdf_url":"https://arxiv.org/pdf/cond-mat/9903073","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":[],"sustainable_development_goals_aurora":[{"score":0.6899999976158142,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W629994691","https://openalex.org/W645976917","https://openalex.org/W1985968659","https://openalex.org/W2025595105","https://openalex.org/W2033823119","https://openalex.org/W2068220853","https://openalex.org/W2074340433","https://openalex.org/W2094788584","https://openalex.org/W2997872173","https://openalex.org/W4243657540"],"related_works":["https://openalex.org/W2040631711","https://openalex.org/W3009518900","https://openalex.org/W2952437030","https://openalex.org/W2260821690","https://openalex.org/W1990096631","https://openalex.org/W2039668006","https://openalex.org/W1999737647","https://openalex.org/W2157885661","https://openalex.org/W2162532134","https://openalex.org/W2007116187"],"abstract_inverted_index":{"The":[0,35,87],"well-known":[1],"results":[2],"concerning":[3],"a":[4,18,66,130],"dilute":[5,48],"Bose":[6,49],"gas":[7,50],"with":[8,51,80],"the":[9,22,29,47,57,62,75,84,91,97,102,106,109,116,132,147,150,156,161,164],"short-range":[10],"repulsive":[11],"interaction":[12,151],"should":[13],"be":[14],"reconsidered":[15],"due":[16],"to":[17,26,41,73],"thermodynamic":[19],"inconsistency":[20,76],"of":[21,28,32,37,45,61,83,90,96,115,123,127,149],"method":[23],"being":[24],"basic":[25],"much":[27],"present":[30],"understanding":[31],"this":[33,69],"subject.":[34],"aim":[36],"our":[38],"paper":[39],"is":[40,114,131],"propose":[42],"another":[43],"way":[44,70],"treating":[46],"an":[52],"arbitrary":[53],"strong":[54],"interaction.":[55],"Using":[56],"reduced":[58],"density":[59,99],"matrix":[60],"second":[63],"order":[64],"and":[65,78,135],"variational":[67],"procedure,":[68],"allows":[71],"us":[72],"escape":[74],"mentioned":[77],"operate":[79],"singular":[81],"potentials":[82],"Lennard-Jones":[85],"type.":[86],"derived":[88],"expansion":[89,107],"condensate":[92],"depletion":[93],"in":[94],"powers":[95],"boson":[98],"n=N/V":[100],"reproduces":[101],"familiar":[103],"result,":[104],"while":[105],"for":[108,140,155],"mean":[110],"energy":[111],"per":[112],"particle":[113],"form":[117],"epsilon=2":[118],"pi":[119],"planck(2)an/m[1+128/(15":[120],"square":[121,125],"root":[122,126],"[pi])":[124],"[na(3)](1-5b/8a)+...],":[128],"where":[129],"scattering":[133],"length":[134,144],"b>":[136],"or":[137],"=0":[138],"stands":[139],"one":[141],"more":[142],"characteristic":[143],"depending":[145],"on":[146],"shape":[148],"potential":[152],"(in":[153],"particular,":[154],"hard":[157],"spheres":[158],"a=b).":[159],"All":[160],"consideration":[162],"concerns":[163],"zero":[165],"temperature.":[166]},"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}