{"id":"https://openalex.org/W2043986457","doi":"https://doi.org/10.1023/a:1014223727656","title":"On Markovian Limit in Quantum Open Systems","display_name":"On Markovian Limit in Quantum Open Systems","publication_year":2002,"publication_date":"2002-03-01","ids":{"openalex":"https://openalex.org/W2043986457","doi":"https://doi.org/10.1023/a:1014223727656","mag":"2043986457"},"language":"en","primary_location":{"id":"doi:10.1023/a:1014223727656","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1014223727656","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems &amp; Information Dynamics","raw_type":"journal-article"},"type":"article","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/A5056187445","display_name":"Andrzej Kossakowski","orcid":null},"institutions":[{"id":"https://openalex.org/I4210086947","display_name":"Institute of Physics","ror":"https://ror.org/000sfad56","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210086947","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Andrzej Kossakowski","raw_affiliation_strings":["Institute of Physics, Nicholas Copernicus University, 87\u2013100 Toru\u0144, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Physics, Nicholas Copernicus University, 87\u2013100 Toru\u0144, Poland","institution_ids":["https://openalex.org/I4210086947"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056187445"],"corresponding_institution_ids":["https://openalex.org/I4210086947"],"apc_list":null,"apc_paid":null,"fwci":0.8111,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.72070829,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"09","issue":"01","first_page":"1","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9995999932289124,"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":0.9995999932289124,"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/T11414","display_name":"Quantum optics and atomic interactions","score":0.9991000294685364,"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/harmonic-oscillator","display_name":"Harmonic oscillator","score":0.7338146567344666},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6292697191238403},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5859287977218628},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5493759512901306},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.536965012550354},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5039944052696228},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.4828777611255646},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.47491440176963806},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.4495667815208435},{"id":"https://openalex.org/keywords/classical-limit","display_name":"Classical limit","score":0.4270396828651428},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4171868562698364},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.41284361481666565},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.377618670463562},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3145051598548889},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18670162558555603},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07503867149353027}],"concepts":[{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.7338146567344666},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6292697191238403},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5859287977218628},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5493759512901306},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.536965012550354},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5039944052696228},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4828777611255646},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.47491440176963806},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4495667815208435},{"id":"https://openalex.org/C53702628","wikidata":"https://www.wikidata.org/wiki/Q3090317","display_name":"Classical limit","level":3,"score":0.4270396828651428},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4171868562698364},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.41284361481666565},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.377618670463562},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3145051598548889},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18670162558555603},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07503867149353027},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1014223727656","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1014223727656","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems &amp; Information Dynamics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47999998927116394,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W53909067","https://openalex.org/W86479861","https://openalex.org/W189138246","https://openalex.org/W1554405298","https://openalex.org/W1569301522","https://openalex.org/W1587799944","https://openalex.org/W1613420873","https://openalex.org/W1616849956","https://openalex.org/W1796246852","https://openalex.org/W1966996405","https://openalex.org/W1967813632","https://openalex.org/W1971084549","https://openalex.org/W1989594619","https://openalex.org/W1994670505","https://openalex.org/W1996422255","https://openalex.org/W2001234135","https://openalex.org/W2007727413","https://openalex.org/W2010561889","https://openalex.org/W2049204711","https://openalex.org/W2060583533","https://openalex.org/W2064964802","https://openalex.org/W2069453797","https://openalex.org/W2083001779","https://openalex.org/W2088322284","https://openalex.org/W2115528917","https://openalex.org/W2124714273","https://openalex.org/W2153480542","https://openalex.org/W2162208995","https://openalex.org/W2334591577","https://openalex.org/W2486624702","https://openalex.org/W2607481800","https://openalex.org/W2913334907","https://openalex.org/W2918149778","https://openalex.org/W4232761187","https://openalex.org/W4235729430","https://openalex.org/W4243741603"],"related_works":["https://openalex.org/W2353396818","https://openalex.org/W2370473919","https://openalex.org/W2390496461","https://openalex.org/W2389654532","https://openalex.org/W2369545560","https://openalex.org/W2355429547","https://openalex.org/W2373218684","https://openalex.org/W1993521540","https://openalex.org/W2088155705","https://openalex.org/W2149989569"],"abstract_inverted_index":{"The":[0],"dynamics":[1,29],"of":[2,18,26,34],"spherical":[3],"harmonic":[4],"oscillator":[5],"interacting":[6],"with":[7],"radiation":[8],"field":[9],"is":[10,13,21,30],"investigated.":[11],"It":[12],"shown":[14],"that":[15],"the":[16,24,39,48],"irreversibility":[17],"time":[19],"evolution":[20],"due":[22],"to":[23],"appearance":[25],"resonances.":[27],"Reduced":[28],"given":[31],"in":[32,38,47],"terms":[33],"multi-time":[35],"correlation":[36],"functions":[37],"Markovian":[40],"limit,":[41],"which":[42],"includes":[43],"higher":[44],"order":[45],"corrections":[46],"coupling":[49],"constant.":[50]},"counts_by_year":[{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
