{"id":"https://openalex.org/W2000573728","doi":"https://doi.org/10.1016/s0375-9601(98)00940-2","title":"The Markov approximation revisited: Inconsistency of the standard quantum Brownian motion model","display_name":"The Markov approximation revisited: Inconsistency of the standard quantum Brownian motion model","publication_year":1999,"publication_date":"1999-02-01","ids":{"openalex":"https://openalex.org/W2000573728","doi":"https://doi.org/10.1016/s0375-9601(98)00940-2","mag":"2000573728"},"language":"en","primary_location":{"id":"doi:10.1016/s0375-9601(98)00940-2","doi":"https://doi.org/10.1016/s0375-9601(98)00940-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0375-9601(98)00940-2","pdf_url":null,"source":{"id":"https://openalex.org/S104875562","display_name":"Physics Letters A","issn_l":"0375-9601","issn":["0375-9601","1873-2429"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physics Letters A","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/quant-ph/9909051","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000679533","display_name":"Andrea Rocco","orcid":"https://orcid.org/0000-0002-0974-5522","observed_orcids":["https://orcid.org/0000-0002-0974-5522"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrea Rocco","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Paolo Grigolini","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Paolo Grigolini","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2150,"currency":"USD","value_usd":2150},"apc_paid":null,"fwci":0.5061,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.55916335,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"252","issue":"3-4","first_page":"115","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.7470999956130981,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.7470999956130981,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.23270000517368317,"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":0.004399999976158142,"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/markovian-approximation","display_name":"Markov approximation","score":0.9890000224113464},{"id":"https://openalex.org/keywords/quantum-brownian-motion","display_name":"quantum Brownian motion","score":0.996999979019165},{"id":"https://openalex.org/keywords/open-quantum-systems","display_name":"open quantum systems","score":0.7440000176429749},{"id":"https://openalex.org/keywords/system-bath-coupling","display_name":"system-bath coupling","score":0.5619999766349792},{"id":"https://openalex.org/keywords/energy-dissipation","display_name":"energy dissipation","score":0.42899999022483826},{"id":"https://openalex.org/keywords/model-inconsistency","display_name":"model inconsistency","score":0.35100001096725464}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.886900007724762},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6032999753952026},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5691999793052673},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.48420000076293945},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.46959999203681946},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.46639999747276306},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.3458000123500824},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.34369999170303345},{"id":"https://openalex.org/C101615488","wikidata":"https://www.wikidata.org/wiki/Q1503307","display_name":"Geometric Brownian motion","level":4,"score":0.3409000039100647},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.3375000059604645},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.3167000114917755},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3165999948978424},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3066999912261963},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.3050000071525574},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.25859999656677246},{"id":"https://openalex.org/C165973109","wikidata":"https://www.wikidata.org/wiki/Q894014","display_name":"Quantum probability","level":5,"score":0.2502000033855438}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1016/s0375-9601(98)00940-2","doi":"https://doi.org/10.1016/s0375-9601(98)00940-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0375-9601(98)00940-2","pdf_url":null,"source":{"id":"https://openalex.org/S104875562","display_name":"Physics Letters A","issn_l":"0375-9601","issn":["0375-9601","1873-2429"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physics Letters A","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:quant-ph/9909051","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/quant-ph/9909051","pdf_url":"https://arxiv.org/pdf/quant-ph/9909051","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":"pmh:info:ark/67531/metadc139465","doi":null,"is_oa":false,"landing_page_url":"https://digital.library.unt.edu/ark:/67531/metadc139465/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400792","display_name":"University of North Texas Digital Library (University of North Texas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I123534392","host_organization_name":"University of North Texas","host_organization_lineage":["https://openalex.org/I123534392"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Physics Letter A, 1999, New York: Elsevier Science Ltd., pp. 115-124","raw_type":"Article"},{"id":"pmh:oai:cds.cern.ch:400511","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/400511","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:epubs.surrey.ac.uk:824697","doi":null,"is_oa":false,"landing_page_url":"http://epubs.surrey.ac.uk/824697/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400680","display_name":"Surrey Research Insight Open Access (The University of Surrey)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I28290843","host_organization_name":"University of Surrey","host_organization_lineage":["https://openalex.org/I28290843"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"doi:10.48550/arxiv.quant-ph/9909051","doi":"https://doi.org/10.48550/arxiv.quant-ph/9909051","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.quant-ph/9909051","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":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:quant-ph/9909051","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/quant-ph/9909051","pdf_url":"https://arxiv.org/pdf/quant-ph/9909051","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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2000573728.pdf","grobid_xml":"https://content.openalex.org/works/W2000573728.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W604393447","https://openalex.org/W1552736770","https://openalex.org/W1596092532","https://openalex.org/W1973778620","https://openalex.org/W1976845147","https://openalex.org/W1979212739","https://openalex.org/W1982574512","https://openalex.org/W1990940515","https://openalex.org/W1992011287","https://openalex.org/W1995318398","https://openalex.org/W2003713304","https://openalex.org/W2009385089","https://openalex.org/W2009902266","https://openalex.org/W2014558331","https://openalex.org/W2015683881","https://openalex.org/W2016680654","https://openalex.org/W2020456733","https://openalex.org/W2030393518","https://openalex.org/W2032558547","https://openalex.org/W2034251480","https://openalex.org/W2034634054","https://openalex.org/W2050275756","https://openalex.org/W2052199078","https://openalex.org/W2052376887","https://openalex.org/W2056688621","https://openalex.org/W2058509714","https://openalex.org/W2068441371","https://openalex.org/W2069265811","https://openalex.org/W2069383005","https://openalex.org/W2073172283","https://openalex.org/W2076228522","https://openalex.org/W2083569007","https://openalex.org/W2088068170","https://openalex.org/W2088760171","https://openalex.org/W2088809247","https://openalex.org/W2110023503","https://openalex.org/W2118507995","https://openalex.org/W2124138287","https://openalex.org/W2143423258","https://openalex.org/W2150986996","https://openalex.org/W2158904868","https://openalex.org/W2164539400","https://openalex.org/W2168444310","https://openalex.org/W2168664653","https://openalex.org/W2171379820","https://openalex.org/W2995770280","https://openalex.org/W4229575199","https://openalex.org/W4252028749"],"related_works":["https://openalex.org/W7097267501","https://openalex.org/W7097497612","https://openalex.org/W2016368099","https://openalex.org/W2904677730","https://openalex.org/W2735591006","https://openalex.org/W2550950893","https://openalex.org/W241912678","https://openalex.org/W3183155633","https://openalex.org/W3033797759","https://openalex.org/W2014323169"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}