{"id":"https://openalex.org/W2020165507","doi":"https://doi.org/10.1142/s0218127403007977","title":"Classical Limit and Chaotic Regime in a Semi-Quantum Hamiltonian","display_name":"Classical Limit and Chaotic Regime in a Semi-Quantum Hamiltonian","publication_year":2003,"publication_date":"2003-08-01","ids":{"openalex":"https://openalex.org/W2020165507","doi":"https://doi.org/10.1142/s0218127403007977","mag":"2020165507"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127403007977","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127403007977","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"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":"International Journal of Bifurcation and Chaos","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/A5013947737","display_name":"A.M. Kowalski","orcid":"https://orcid.org/0000-0002-9636-4030"},"institutions":[{"id":"https://openalex.org/I24354313","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]},{"id":"https://openalex.org/I874386039","display_name":"Universidad Nacional de La Plata","ror":"https://ror.org/01tjs6929","country_code":"AR","type":"education","lineage":["https://openalex.org/I874386039"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"A. M. Kowalski","raw_affiliation_strings":["Buenos Aires Scientific Research Commission  (CIC), Argentina","Laboratorio de Sistemas Complejos, Dpto. de Computaci\u00f3n, Facultad de Ingenier\u00eda, Universidad de Buenos Aires, Argentina","National University La Plata, Casilla de Correo 727, (1900) La Plata, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Buenos Aires Scientific Research Commission  (CIC), Argentina","institution_ids":[]},{"raw_affiliation_string":"Laboratorio de Sistemas Complejos, Dpto. de Computaci\u00f3n, Facultad de Ingenier\u00eda, Universidad de Buenos Aires, Argentina","institution_ids":["https://openalex.org/I24354313"]},{"raw_affiliation_string":"National University La Plata, Casilla de Correo 727, (1900) La Plata, Argentina","institution_ids":["https://openalex.org/I874386039"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100699285","display_name":"M.T. Mart\u00edn","orcid":"https://orcid.org/0000-0001-6062-2969"},"institutions":[{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"government","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]},{"id":"https://openalex.org/I874386039","display_name":"Universidad Nacional de La Plata","ror":"https://ror.org/01tjs6929","country_code":"AR","type":"education","lineage":["https://openalex.org/I874386039"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"M. T. Martin","raw_affiliation_strings":["Argentine National Research Council  (CONICET), Argentina","National University La Plata, Casilla de Correo 727, (1900) La Plata, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Argentine National Research Council  (CONICET), Argentina","institution_ids":["https://openalex.org/I151201029"]},{"raw_affiliation_string":"National University La Plata, Casilla de Correo 727, (1900) La Plata, Argentina","institution_ids":["https://openalex.org/I874386039"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059654447","display_name":"A. Plastino","orcid":"https://orcid.org/0000-0001-5848-0770"},"institutions":[{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"government","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]},{"id":"https://openalex.org/I874386039","display_name":"Universidad Nacional de La Plata","ror":"https://ror.org/01tjs6929","country_code":"AR","type":"education","lineage":["https://openalex.org/I874386039"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"A. Plastino","raw_affiliation_strings":["Argentine National Research Council  (CONICET), Argentina","National University La Plata, Casilla de Correo 727, (1900) La Plata, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Argentine National Research Council  (CONICET), Argentina","institution_ids":["https://openalex.org/I151201029"]},{"raw_affiliation_string":"National University La Plata, Casilla de Correo 727, (1900) La Plata, Argentina","institution_ids":["https://openalex.org/I874386039"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113677582","display_name":"A. N. Proto","orcid":null},"institutions":[{"id":"https://openalex.org/I24354313","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"A. N. Proto","raw_affiliation_strings":["Buenos Aires Scientific Research Commission  (CIC), Argentina","Laboratorio de Sistemas Complejos, Dpto. de Computaci\u00f3n, Facultad de Ingenier\u00eda, Universidad de Buenos Aires, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Buenos Aires Scientific Research Commission  (CIC), Argentina","institution_ids":[]},{"raw_affiliation_string":"Laboratorio de Sistemas Complejos, Dpto. de Computaci\u00f3n, Facultad de Ingenier\u00eda, Universidad de Buenos Aires, Argentina","institution_ids":["https://openalex.org/I24354313"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2534,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.56764284,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"13","issue":"08","first_page":"2315","last_page":"2325"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9998999834060669,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9998999834060669,"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":0.9947999715805054,"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":0.9839000105857849,"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/semiclassical-physics","display_name":"Semiclassical physics","score":0.75275719165802},{"id":"https://openalex.org/keywords/classical-limit","display_name":"Classical limit","score":0.6568171381950378},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.6173049211502075},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5911957621574402},{"id":"https://openalex.org/keywords/harmonic-oscillator","display_name":"Harmonic oscillator","score":0.5767049193382263},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5449709892272949},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.539872407913208},{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.5376978516578674},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.5149722695350647},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.49698570370674133},{"id":"https://openalex.org/keywords/quantum-chaos","display_name":"Quantum chaos","score":0.47504448890686035},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.4438880980014801},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.418038547039032},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4151243567466736},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.41198134422302246},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3663495182991028},{"id":"https://openalex.org/keywords/quantum-dynamics","display_name":"Quantum dynamics","score":0.32732951641082764},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06816366314888}],"concepts":[{"id":"https://openalex.org/C535169671","wikidata":"https://www.wikidata.org/wiki/Q17080006","display_name":"Semiclassical physics","level":3,"score":0.75275719165802},{"id":"https://openalex.org/C53702628","wikidata":"https://www.wikidata.org/wiki/Q3090317","display_name":"Classical limit","level":3,"score":0.6568171381950378},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6173049211502075},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5911957621574402},{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.5767049193382263},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5449709892272949},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.539872407913208},{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.5376978516578674},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.5149722695350647},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.49698570370674133},{"id":"https://openalex.org/C136269434","wikidata":"https://www.wikidata.org/wiki/Q1502341","display_name":"Quantum chaos","level":4,"score":0.47504448890686035},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4438880980014801},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.418038547039032},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4151243567466736},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.41198134422302246},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3663495182991028},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.32732951641082764},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06816366314888},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127403007977","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127403007977","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"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":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1683709458","https://openalex.org/W1979104272","https://openalex.org/W1993696567","https://openalex.org/W1996096355","https://openalex.org/W1996241757","https://openalex.org/W1999284237","https://openalex.org/W2029091436","https://openalex.org/W2054808750","https://openalex.org/W2069771751","https://openalex.org/W2070259237","https://openalex.org/W2092899340","https://openalex.org/W2118533364","https://openalex.org/W2119683501","https://openalex.org/W2131689116","https://openalex.org/W2163440371","https://openalex.org/W4255137765"],"related_works":["https://openalex.org/W2945028955","https://openalex.org/W3098285481","https://openalex.org/W2806955586","https://openalex.org/W3152075377","https://openalex.org/W3197098812","https://openalex.org/W3123585693","https://openalex.org/W2009278605","https://openalex.org/W1608432621","https://openalex.org/W2056548857","https://openalex.org/W1850535000"],"abstract_inverted_index":{"Based":[0],"on":[1],"a":[2,15,20,26,30,79],"quantum":[3,22,91],"dynamical":[4],"invariant":[5,65],"of":[6,14,59,78],"motion,":[7],"I,":[8],"we":[9,102],"study":[10],"the":[11,41,51,56,60,72,76,88,94,104,111],"classical":[12,27,45,81,95],"limit":[13,46],"semiclassical":[16],"Hamiltonian":[17],"composed":[18],"by":[19,50],"full":[21],"harmonic":[23],"oscillator":[24],"plus":[25,29],"particle":[28],"\"semiclassical\"":[31],"coupling":[32],"quartic":[33],"term.":[34],"The":[35,44],"motion-invariant":[36],"is":[37,48],"closely":[38],"related":[39],"to":[40,86,93],"uncertainty":[42],"principle.":[43],"(CL)":[47],"determined":[49],"relationship":[52],"between":[53,90],"I":[54],"and":[55,110],"total":[57],"energy":[58],"system,":[61],"defining":[62],"an":[63],"adimensional":[64],"E":[66,100],"r":[67,101],".":[68],"We":[69],"find":[70],"that":[71],"CL":[73],"coincides":[74],"with":[75,99],"results":[77],"purely":[80],"treatment.":[82],"Both":[83],"invariants":[84],"allow":[85],"follow":[87],"transit":[89],"nonchaotic":[92],"chaotic":[96],"regime.":[97],"Particularly,":[98],"define":[103],"threshold":[105],"above":[106],"which":[107,114],"chaos":[108],"appears,":[109],"interval":[112],"during":[113],"both":[115],"regimes":[116],"co-exist.":[117]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
