{"id":"https://openalex.org/W2044985992","doi":"https://doi.org/10.1143/jpsj.63.2930","title":"Variational Approximation of Density Matrix on the Basis of Ground State: Thermalization of Vacuum","display_name":"Variational Approximation of Density Matrix on the Basis of Ground State: Thermalization of Vacuum","publication_year":1994,"publication_date":"1994-08-15","ids":{"openalex":"https://openalex.org/W2044985992","doi":"https://doi.org/10.1143/jpsj.63.2930","mag":"2044985992"},"language":"en","primary_location":{"id":"doi:10.1143/jpsj.63.2930","doi":"https://doi.org/10.1143/jpsj.63.2930","is_oa":false,"landing_page_url":"https://doi.org/10.1143/jpsj.63.2930","pdf_url":null,"source":{"id":"https://openalex.org/S119212824","display_name":"Journal of the Physical Society of Japan","issn_l":"0031-9015","issn":["0031-9015","1347-4073"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310313296","host_organization_name":"Physical Society of Japan","host_organization_lineage":["https://openalex.org/P4310313296"],"host_organization_lineage_names":["Physical Society of Japan"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Physical Society of Japan","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5081948896","display_name":"V. B. Magalinsky","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I126527374","display_name":"Peoples' Friendship University of Russia","ror":"https://ror.org/02dn9h927","country_code":"RU","type":"education","lineage":["https://openalex.org/I126527374"]},{"id":"https://openalex.org/I721619","display_name":"Benem\u00e9rita Universidad Aut\u00f3noma de Puebla","ror":"https://ror.org/03p2z7827","country_code":"MX","type":"education","lineage":["https://openalex.org/I721619"]}],"countries":["MX","RU"],"is_corresponding":false,"raw_author_name":"V.\u00a0B. Magalinsky","raw_affiliation_strings":["Department of Theoretical Physics, Russian Friendship University, Ordzonikidze st., 117419 Moscow, Russia","Facultad de Ciencias F\u00edsico Matem\u00e1ticas, Universidad Aut\u00f3onoma de Puebla, Apartado Postal 1364, Puebla, Pue., M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Theoretical Physics, Russian Friendship University, Ordzonikidze st., 117419 Moscow, Russia","institution_ids":["https://openalex.org/I126527374"]},{"raw_affiliation_string":"Facultad de Ciencias F\u00edsico Matem\u00e1ticas, Universidad Aut\u00f3onoma de Puebla, Apartado Postal 1364, Puebla, Pue., M\u00e9xico","institution_ids":["https://openalex.org/I721619"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064065544","display_name":"Masaki Hayashi","orcid":"https://orcid.org/0000-0003-4890-3113","observed_orcids":["https://orcid.org/0000-0003-4890-3113"]},"institutions":[{"id":"https://openalex.org/I8588240","display_name":"Saitama Medical University","ror":"https://ror.org/04zb31v77","country_code":"JP","type":"education","lineage":["https://openalex.org/I8588240"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masaki Hayashi","raw_affiliation_strings":["Department of Physics, Saitama Medical College, 981 Kawakado, Moroyama, Saitama 350-04"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Saitama Medical College, 981 Kawakado, Moroyama, Saitama 350-04","institution_ids":["https://openalex.org/I8588240"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032526176","display_name":"Honorio Vera Mendoza","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I721619","display_name":"Benem\u00e9rita Universidad Aut\u00f3noma de Puebla","ror":"https://ror.org/03p2z7827","country_code":"MX","type":"education","lineage":["https://openalex.org/I721619"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Honorio\u00a0Vera Mendoza","raw_affiliation_strings":["Facultad de Ciencias F\u00edsico Matem\u00e1ticas, Universidad Aut\u00f3onoma de Puebla, Apartado Postal 1364, Puebla, Pue., M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Ciencias F\u00edsico Matem\u00e1ticas, Universidad Aut\u00f3onoma de Puebla, Apartado Postal 1364, Puebla, Pue., M\u00e9xico","institution_ids":["https://openalex.org/I721619"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.17562756,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"63","issue":"8","first_page":"2930","last_page":"2935"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.7515000104904175,"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":0.7515000104904175,"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":0.10109999775886536,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.021900000050663948,"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/density-matrix","display_name":"density matrix","score":0.8420000076293945},{"id":"https://openalex.org/keywords/variational-principle","display_name":"variational principle","score":0.8320000171661377},{"id":"https://openalex.org/keywords/ground-state","display_name":"ground state","score":0.5559999942779541},{"id":"https://openalex.org/keywords/spontaneous-symmetry-breaking","display_name":"spontaneous symmetry breaking","score":0.9079999923706055}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6383671164512634},{"id":"https://openalex.org/C9259290","wikidata":"https://www.wikidata.org/wiki/Q745215","display_name":"Variational principle","level":2,"score":0.590577244758606},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.5849325656890869},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.4880322515964508},{"id":"https://openalex.org/C65574998","wikidata":"https://www.wikidata.org/wiki/Q386272","display_name":"Feynman diagram","level":2,"score":0.4745510518550873},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.44188469648361206},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4387394189834595},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.41648048162460327},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.37348031997680664},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.36120083928108215},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22048404812812805},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1143/jpsj.63.2930","doi":"https://doi.org/10.1143/jpsj.63.2930","is_oa":false,"landing_page_url":"https://doi.org/10.1143/jpsj.63.2930","pdf_url":null,"source":{"id":"https://openalex.org/S119212824","display_name":"Journal of the Physical Society of Japan","issn_l":"0031-9015","issn":["0031-9015","1347-4073"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310313296","host_organization_name":"Physical Society of Japan","host_organization_lineage":["https://openalex.org/P4310313296"],"host_organization_lineage_names":["Physical Society of Japan"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Physical Society of Japan","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2015287199","https://openalex.org/W2048225376","https://openalex.org/W2070351351","https://openalex.org/W2120334388","https://openalex.org/W2999481311","https://openalex.org/W4251227784"],"related_works":["https://openalex.org/W2082612868","https://openalex.org/W1994134360","https://openalex.org/W2080923095","https://openalex.org/W2047404233","https://openalex.org/W2056922838","https://openalex.org/W2065456420","https://openalex.org/W1517975227","https://openalex.org/W6959482210","https://openalex.org/W2008010483","https://openalex.org/W2062726427"],"abstract_inverted_index":{"We":[0,123],"formulate":[1],"the":[2,30,41,43,50,58,66,69,72,81,84,87,102,106,120,125,132],"Feynman's":[3],"variational":[4,44],"principle":[5,52],"for":[6,40,105,119],"a":[7,35],"density":[8],"matrix":[9],"by":[10],"means":[11],"of":[12,24,32,53,65,71,83,92,127],"Bohm-Madelung":[13],"representation":[14],"using":[15],"Lagrange":[16],"variables,":[17],"which":[18,57,77,100],"appear":[19,61],"to":[20,62],"be":[21,47,63],"dynamical":[22],"invariants":[23,39],"phase":[25],"flux":[26,42],"with":[27],"sources":[28],"on":[29,131],"ends":[31,82],"trajectories.":[33,85],"With":[34],"linear":[36,107],"parametrization":[37],"in":[38,56,90,110],"problem":[45],"can":[46],"formulated":[48],"as":[49,135],"extended":[51,88],"least":[54],"action":[55,89],"functional":[59],"variables":[60],"trajectories":[64],"center":[67],"and":[68,116],"dispersion":[70],"renormalized":[73],"vacuum":[74],"wave":[75],"packet,":[76],"is":[78],"reduced":[79],"at":[80],"Approximating":[86],"terms":[91],"bilocal":[93],"frequency,":[94],"we":[95],"derive":[96],"an":[97],"explicit":[98],"expression":[99],"provides":[101],"exact":[103],"result":[104],"systems":[108],"and,":[109],"general":[111],"case,":[112],"proper":[113],"semi-classical":[114],"correction":[115],"correct":[117],"asymptotics":[118],"ground":[121],"state.":[122],"examine":[124],"effect":[126],"spontaneous":[128],"symmetry":[129],"breaking":[130],"coordinate":[133],"distribution":[134],"well.":[136]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
