{"id":"https://openalex.org/W2913406008","doi":"https://doi.org/10.3390/e21020142","title":"A Survey of the Concept of Disturbance in Quantum Mechanics","display_name":"A Survey of the Concept of Disturbance in Quantum Mechanics","publication_year":2019,"publication_date":"2019-02-02","ids":{"openalex":"https://openalex.org/W2913406008","doi":"https://doi.org/10.3390/e21020142","mag":"2913406008","pmid":"https://pubmed.ncbi.nlm.nih.gov/33266858"},"language":"en","primary_location":{"id":"doi:10.3390/e21020142","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21020142","pdf_url":"https://www.mdpi.com/1099-4300/21/2/142/pdf?version=1549103191","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/21/2/142/pdf?version=1549103191","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054015960","display_name":"E. Ben\u00edtez Rodr\u00edguez","orcid":"https://orcid.org/0000-0003-3486-0175"},"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":"Ernesto Ben\u00edtez Rodr\u00edguez","raw_affiliation_strings":["Facultad de Ciencias F\u00edsico Matem\u00e1ticas, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla, 18 Sur y Avenida San Claudio, Col. San Manuel, Puebla 72520, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Ciencias F\u00edsico Matem\u00e1ticas, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla, 18 Sur y Avenida San Claudio, Col. San Manuel, Puebla 72520, Mexico","institution_ids":["https://openalex.org/I721619"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090997734","display_name":"L. M. Ar\u00e9valo Aguilar","orcid":"https://orcid.org/0000-0001-7603-3667"},"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":true,"raw_author_name":"Luis Manuel Ar\u00e9valo Aguilar","raw_affiliation_strings":["Facultad de Ciencias F\u00edsico Matem\u00e1ticas, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla, 18 Sur y Avenida San Claudio, Col. San Manuel, Puebla 72520, Mexico"],"raw_orcid":"https://orcid.org/0000-0001-7603-3667","affiliations":[{"raw_affiliation_string":"Facultad de Ciencias F\u00edsico Matem\u00e1ticas, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla, 18 Sur y Avenida San Claudio, Col. San Manuel, Puebla 72520, Mexico","institution_ids":["https://openalex.org/I721619"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5090997734"],"corresponding_institution_ids":["https://openalex.org/I721619"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":1.2764,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.84526309,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"21","issue":"2","first_page":"142","last_page":"142"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9980999827384949,"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/T11449","display_name":"Mechanical and Optical Resonators","score":0.9980000257492065,"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/disturbance","display_name":"Disturbance (geology)","score":0.8863208293914795},{"id":"https://openalex.org/keywords/uncertainty-principle","display_name":"Uncertainty principle","score":0.6042953729629517},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.5722905397415161},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5362946391105652},{"id":"https://openalex.org/keywords/transcendental-number","display_name":"Transcendental number","score":0.4795115292072296},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.45300471782684326},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.43749091029167175},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4370811879634857},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4219139516353607},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.32218682765960693},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24928945302963257},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.17604902386665344},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.12534603476524353},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.09391483664512634}],"concepts":[{"id":"https://openalex.org/C2777601987","wikidata":"https://www.wikidata.org/wiki/Q5283581","display_name":"Disturbance (geology)","level":2,"score":0.8863208293914795},{"id":"https://openalex.org/C181543814","wikidata":"https://www.wikidata.org/wiki/Q44746","display_name":"Uncertainty principle","level":3,"score":0.6042953729629517},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.5722905397415161},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5362946391105652},{"id":"https://openalex.org/C188370112","wikidata":"https://www.wikidata.org/wiki/Q173091","display_name":"Transcendental number","level":2,"score":0.4795115292072296},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.45300471782684326},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.43749091029167175},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4370811879634857},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4219139516353607},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.32218682765960693},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24928945302963257},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17604902386665344},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.12534603476524353},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.09391483664512634},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e21020142","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21020142","pdf_url":"https://www.mdpi.com/1099-4300/21/2/142/pdf?version=1549103191","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:33266858","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33266858","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:4d6aa934e1a544bba6a9e1f423b500e7","is_oa":true,"landing_page_url":"https://doaj.org/article/4d6aa934e1a544bba6a9e1f423b500e7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 21, Iss 2, p 142 (2019)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/21/2/142/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e21020142","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7514626","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7514626","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e21020142","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21020142","pdf_url":"https://www.mdpi.com/1099-4300/21/2/142/pdf?version=1549103191","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":88,"referenced_works":["https://openalex.org/W100567491","https://openalex.org/W1484402935","https://openalex.org/W1523225812","https://openalex.org/W1545570144","https://openalex.org/W1571541394","https://openalex.org/W1621050367","https://openalex.org/W1756053167","https://openalex.org/W1964348979","https://openalex.org/W1966451393","https://openalex.org/W1967768291","https://openalex.org/W1980564861","https://openalex.org/W1983032802","https://openalex.org/W1985989979","https://openalex.org/W1986310174","https://openalex.org/W1988155384","https://openalex.org/W1991789348","https://openalex.org/W1991877988","https://openalex.org/W1992385773","https://openalex.org/W1997124098","https://openalex.org/W2000119834","https://openalex.org/W2001115340","https://openalex.org/W2003583167","https://openalex.org/W2007792669","https://openalex.org/W2009005793","https://openalex.org/W2012861049","https://openalex.org/W2017379488","https://openalex.org/W2025075253","https://openalex.org/W2027707976","https://openalex.org/W2028284353","https://openalex.org/W2028549339","https://openalex.org/W2032183394","https://openalex.org/W2033672691","https://openalex.org/W2035340268","https://openalex.org/W2037898884","https://openalex.org/W2039255727","https://openalex.org/W2041765604","https://openalex.org/W2065750983","https://openalex.org/W2069738487","https://openalex.org/W2069914833","https://openalex.org/W2073618294","https://openalex.org/W2075138946","https://openalex.org/W2079089304","https://openalex.org/W2080923410","https://openalex.org/W2081752391","https://openalex.org/W2082147677","https://openalex.org/W2088834080","https://openalex.org/W2090099030","https://openalex.org/W2092405455","https://openalex.org/W2094706601","https://openalex.org/W2095025344","https://openalex.org/W2105482801","https://openalex.org/W2116858786","https://openalex.org/W2132481658","https://openalex.org/W2132510722","https://openalex.org/W2141224437","https://openalex.org/W2143421412","https://openalex.org/W2158993297","https://openalex.org/W2162753709","https://openalex.org/W2246251217","https://openalex.org/W2249970638","https://openalex.org/W2279762904","https://openalex.org/W2303814506","https://openalex.org/W2320258497","https://openalex.org/W2323093390","https://openalex.org/W2331985790","https://openalex.org/W2335789676","https://openalex.org/W2410197385","https://openalex.org/W2411104753","https://openalex.org/W2587204915","https://openalex.org/W2788116825","https://openalex.org/W2807000539","https://openalex.org/W2884117350","https://openalex.org/W2952313498","https://openalex.org/W2975790508","https://openalex.org/W3037306418","https://openalex.org/W3099574062","https://openalex.org/W3099896948","https://openalex.org/W3100272220","https://openalex.org/W3100524164","https://openalex.org/W3100929648","https://openalex.org/W3101065358","https://openalex.org/W3101621573","https://openalex.org/W3102027776","https://openalex.org/W3104332552","https://openalex.org/W3105213759","https://openalex.org/W4238804566","https://openalex.org/W6660417667","https://openalex.org/W6765021553"],"related_works":["https://openalex.org/W2367466578","https://openalex.org/W4298092961","https://openalex.org/W2951586668","https://openalex.org/W4294017991","https://openalex.org/W2505519556","https://openalex.org/W2033672691","https://openalex.org/W4317547841","https://openalex.org/W4285806401","https://openalex.org/W2950596911","https://openalex.org/W3100803765"],"abstract_inverted_index":{"The":[0],"concept":[1,14,108],"of":[2,5,40,56,99,105,136],"disturbance":[3,28,52,69,107],"is":[4],"transcendental":[6],"importance":[7],"in":[8,18,36,70,74,90],"Quantum":[9],"Mechanics":[10],"(QM).":[11],"This":[12],"key":[13],"has":[15],"been":[16],"described":[17],"two":[19],"different":[20,123],"ways,":[21],"the":[22,27,37,41,45,54,57,91,106,122,133],"first":[23],"one":[24,47],"considering":[25],"that":[26,51,78,127],"affects":[29,53],"observables":[30],"like":[31,113],"x":[32],"and":[33,44,101,125],"p,":[34],"as":[35],"Heisenberg\u2019s":[38],"analysis":[39],"measurement":[42],"process":[43],"other":[46],"takes":[48],"into":[49],"consideration":[50],"state":[55],"system":[58],"instead.":[59],"Entropic":[60],"information":[61],"measures":[62],"have":[63,115,128],"provided":[64],"a":[65],"path":[66],"for":[67,132],"studying":[68],"these":[71,85],"both":[72],"approaches;":[73],"fact,":[75],"we":[76],"found":[77],"initially":[79],"it":[80],"was":[81,95],"studied":[82],"by":[83],"employing":[84],"entropic":[86],"measures.":[87],"In":[88],"addition,":[89],"last":[92],"decade,":[93],"there":[94],"an":[96],"extensive":[97],"amount":[98],"analyses":[100],"several":[102],"new":[103],"definitions":[104,126],"emerged.":[109],"Many":[110],"crucial":[111],"factors":[112],"this":[114,117,137],"inspired":[116],"concise":[118],"paper":[119],"which":[120],"gathers":[121],"concepts":[124],"emerged":[129],"through":[130],"time":[131],"better":[134],"understanding":[135],"topic.":[138]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2019-02-21T00:00:00"}
