{"id":"https://openalex.org/W2009823140","doi":"https://doi.org/10.1142/s1230161210000114","title":"Quantum Models of the Recognition Process \u2014 On a Convergence Theorem","display_name":"Quantum Models of the Recognition Process \u2014 On a Convergence Theorem","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2009823140","doi":"https://doi.org/10.1142/s1230161210000114","mag":"2009823140"},"language":"en","primary_location":{"id":"doi:10.1142/s1230161210000114","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161210000114","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/A5030790657","display_name":"Karl\u2010Heinz Fichtner","orcid":null},"institutions":[{"id":"https://openalex.org/I76198965","display_name":"Friedrich Schiller University Jena","ror":"https://ror.org/05qpz1x62","country_code":"DE","type":"education","lineage":["https://openalex.org/I76198965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Karl-Heinz Fichtner","raw_affiliation_strings":["Friedrich Schiller University Jena, School of Mathematics and Computer Science, Institute of Applied Mathematics, Ernst-Abbe-Platz 2, 07743 Jena, Germany"],"affiliations":[{"raw_affiliation_string":"Friedrich Schiller University Jena, School of Mathematics and Computer Science, Institute of Applied Mathematics, Ernst-Abbe-Platz 2, 07743 Jena, Germany","institution_ids":["https://openalex.org/I76198965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078890097","display_name":"Lars Fichtner","orcid":null},"institutions":[{"id":"https://openalex.org/I76198965","display_name":"Friedrich Schiller University Jena","ror":"https://ror.org/05qpz1x62","country_code":"DE","type":"education","lineage":["https://openalex.org/I76198965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lars Fichtner","raw_affiliation_strings":["Friedrich Schiller Unversity Jena, School of Social and Behavioral Sciences, Institute of Psychology, Am Steiger 3, 07743 Jena, Germany"],"affiliations":[{"raw_affiliation_string":"Friedrich Schiller Unversity Jena, School of Social and Behavioral Sciences, Institute of Psychology, Am Steiger 3, 07743 Jena, Germany","institution_ids":["https://openalex.org/I76198965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001313144","display_name":"Wolfgang Freudenberg","orcid":"https://orcid.org/0000-0001-6157-0726"},"institutions":[{"id":"https://openalex.org/I51783024","display_name":"Brandenburg University of Technology Cottbus-Senftenberg","ror":"https://ror.org/02wxx3e24","country_code":"DE","type":"education","lineage":["https://openalex.org/I51783024"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Wolfgang Freudenberg","raw_affiliation_strings":["Brandenburg Technical University Cottbus, Department of Mathematics, PO Box 101344, 03013 Cottbus, Germany"],"affiliations":[{"raw_affiliation_string":"Brandenburg Technical University Cottbus, Department of Mathematics, PO Box 101344, 03013 Cottbus, Germany","institution_ids":["https://openalex.org/I51783024"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113861389","display_name":"Masanori Ohya","orcid":null},"institutions":[{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masanori Ohya","raw_affiliation_strings":["Tokyo University of Science, Department of Information Science, Noda City, Chiba 278\u20138510, Japan"],"affiliations":[{"raw_affiliation_string":"Tokyo University of Science, Department of Information Science, Noda City, Chiba 278\u20138510, Japan","institution_ids":["https://openalex.org/I161296585"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5030790657"],"corresponding_institution_ids":["https://openalex.org/I76198965"],"apc_list":null,"apc_paid":null,"fwci":1.2627,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.78715578,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"17","issue":"02","first_page":"161","last_page":"187"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9923999905586243,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9840999841690063,"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/excited-state","display_name":"Excited state","score":0.517101526260376},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5138223767280579},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.49513736367225647},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4887993037700653},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.46850043535232544},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4434205889701843},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44036608934402466},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43508705496788025},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4154731035232544},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3787231743335724},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26220837235450745},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2299363613128662},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19562798738479614}],"concepts":[{"id":"https://openalex.org/C181500209","wikidata":"https://www.wikidata.org/wiki/Q215328","display_name":"Excited state","level":2,"score":0.517101526260376},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5138223767280579},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.49513736367225647},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4887993037700653},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.46850043535232544},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4434205889701843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44036608934402466},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43508705496788025},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4154731035232544},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3787231743335724},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26220837235450745},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2299363613128662},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19562798738479614},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1230161210000114","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161210000114","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":[{"id":"https://metadata.un.org/sdg/10","score":0.6200000047683716,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W29998332","https://openalex.org/W632783706","https://openalex.org/W1609975480","https://openalex.org/W1987281482","https://openalex.org/W1995388974","https://openalex.org/W2017986821","https://openalex.org/W2022013991","https://openalex.org/W2029989595","https://openalex.org/W2086359060","https://openalex.org/W2087276049","https://openalex.org/W2087792552","https://openalex.org/W2107560053","https://openalex.org/W2147297312","https://openalex.org/W2159353177","https://openalex.org/W2332225779","https://openalex.org/W4242725476"],"related_works":["https://openalex.org/W2068137917","https://openalex.org/W2786707560","https://openalex.org/W147048876","https://openalex.org/W2129337499","https://openalex.org/W2503972482","https://openalex.org/W2092643162","https://openalex.org/W2374165352","https://openalex.org/W2222975001","https://openalex.org/W1990741646","https://openalex.org/W2324083643"],"abstract_inverted_index":{"One":[0,209],"of":[1,5,11,23,34,43,57,81,101,115,121,140,150,156,169,173,181,186,210,220,229,243],"the":[2,6,9,21,39,58,61,71,75,79,90,92,111,125,141,148,151,154,162,167,178,184,217,221,227,244],"main":[3],"activities":[4],"brain":[7,62],"is":[8,31],"recognition":[10,24,114,142,170,187],"signals.":[12,222],"As":[13],"it":[14],"was":[15],"pointed":[16],"out":[17],"in":[18,38,84,95,171,213],"[22,":[19],"25]":[20],"procedure":[22,91,103,185],"can":[25],"be":[26,47,189],"described":[27,190],"as":[28,49],"follows:":[29],"There":[30],"a":[32,51,64,86,96,118,137,195,214],"set":[33],"complex":[35],"signals":[36,45,83,93,116,152,245],"stored":[37],"memory.":[40,76],"Choosing":[41],"one":[42,225],"these":[44],"may":[46],"interpreted":[48],"generating":[50],"hypothesis":[52],"concerning":[53],"an":[54,192,207],"\"expected":[55],"view":[56],"world\".":[59],"Then":[60],"compares":[63],"signal":[65,72],"arising":[66],"from":[67,74,130],"our":[68],"senses":[69],"with":[70],"chosen":[73],"That":[77],"changes":[78],"state":[80,129],"both":[82,146,246],"such":[85,206],"manner":[87],"that":[88,102,113,135,238],"after":[89],"coincide":[94],"certain":[97,119,196],"sense.":[98],"Furthermore,":[99],"measurements":[100],"like":[104],"EEG":[105],"or":[106],"MEG":[107],"are":[108,248],"based":[109],"on":[110,194],"fact":[112],"causes":[117],"loss":[120,155,228],"excited":[122,157,230],"neurons,":[123],"i.e.":[124],"neurons":[126],"change":[127,149,219],"their":[128],"\"excited\"":[131],"to":[132,165,177],"\"nonexcited\".":[133],"For":[134],"reason":[136],"statistical":[138],"model":[139],"process":[143,168],"should":[144,188],"reflect":[145],"\u2014":[147],"and":[153],"neurons.":[158,231],"Now,":[159],"[5]":[160,200],"represents":[161],"first":[163],"attempt":[164],"explain":[166],"terms":[172],"quantum":[174,182],"statistics.":[175],"According":[176],"general":[179],"conception":[180],"theory,":[183],"by":[191],"operator":[193],"Hilbert":[197],"space.":[198],"In":[199],"we":[201],"proposed":[202],"two":[203],"candidates":[204],"for":[205,239],"operator.":[208],"them":[211],"reflects":[212,226],"clear":[215],"sense":[216],"mentioned":[218],"The":[223],"other":[224],"We":[232],"will":[233],"prove":[234],"(cf.":[235],"Theorem":[236],"4)":[237],"sufficiently":[240],"high":[241],"intensities":[242],"operators":[247],"approximately":[249],"equal.":[250]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
