{"id":"https://openalex.org/W2060337751","doi":"https://doi.org/10.1103/physreva.45.6217","title":"Vector parametrization of the N -body problem in quantum mechanics: Polyspherical coordinates","display_name":"Vector parametrization of the N -body problem in quantum mechanics: Polyspherical coordinates","publication_year":1992,"publication_date":"1992-05-01","ids":{"openalex":"https://openalex.org/W2060337751","doi":"https://doi.org/10.1103/physreva.45.6217","mag":"2060337751","pmid":"https://pubmed.ncbi.nlm.nih.gov/9907741"},"language":"en","primary_location":{"id":"doi:10.1103/physreva.45.6217","doi":"https://doi.org/10.1103/physreva.45.6217","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreva.45.6217","pdf_url":null,"source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review A","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"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/A5045246734","display_name":"Xavier Chapuisat","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210098902","display_name":"Laboratoire de Chimie Th\u00e9orique","ror":"https://ror.org/00tmb7y09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210098902","https://openalex.org/I4210128300"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Xavier Chapuisat","raw_affiliation_strings":["Laboratoire de Chimie Th\u00e9orique, Centre Scientifique d\u2019Orsay, B\u00e2timent 490, Universit\u00e9 de Paris\u2013Sud, 91405 Orsay CEDEX, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Chimie Th\u00e9orique, Centre Scientifique d\u2019Orsay, B\u00e2timent 490, Universit\u00e9 de Paris\u2013Sud, 91405 Orsay CEDEX, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I4210098902"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063823312","display_name":"Christophe Iung","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210098902","display_name":"Laboratoire de Chimie Th\u00e9orique","ror":"https://ror.org/00tmb7y09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210098902","https://openalex.org/I4210128300"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Iung","raw_affiliation_strings":["Laboratoire de Chimie Th\u00e9orique, Centre Scientifique d\u2019Orsay, B\u00e2timent 490, Universit\u00e9 de Paris\u2013Sud, 91405 Orsay CEDEX, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Chimie Th\u00e9orique, Centre Scientifique d\u2019Orsay, B\u00e2timent 490, Universit\u00e9 de Paris\u2013Sud, 91405 Orsay CEDEX, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I4210098902"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2675,"currency":"USD","value_usd":2675},"apc_paid":null,"fwci":1.4993,"has_fulltext":false,"cited_by_count":128,"citation_normalized_percentile":{"value":0.79667132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":99},"biblio":{"volume":"45","issue":"9","first_page":"6217","last_page":"6235"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12044","display_name":"Advanced Physical and Chemical Molecular Interactions","score":0.5048999786376953,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12044","display_name":"Advanced Physical and Chemical Molecular Interactions","score":0.5048999786376953,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10523","display_name":"Atomic and Molecular Physics","score":0.3240000009536743,"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/T10002","display_name":"Advanced Chemical Physics Studies","score":0.07900000363588333,"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/n-body-problem","display_name":"N-body problem","score":0.9850000143051147},{"id":"https://openalex.org/keywords/relative-coordinates","display_name":"relative coordinates","score":0.5609999895095825},{"id":"https://openalex.org/keywords/kinetic-energy-operator","display_name":"kinetic energy operator","score":0.7110000252723694},{"id":"https://openalex.org/keywords/euler-angles","display_name":"Euler angles","score":0.7680000066757202},{"id":"https://openalex.org/keywords/spherical-harmonics","display_name":"spherical harmonics","score":0.8659999966621399},{"id":"https://openalex.org/keywords/dihedral-angle","display_name":"dihedral angle","score":0.8399999737739563},{"id":"https://openalex.org/keywords/matrix-elements","display_name":"matrix elements","score":0.5460000038146973},{"id":"https://openalex.org/keywords/molecular-configuration","display_name":"molecular configuration","score":0.40700000524520874},{"id":"https://openalex.org/keywords/center-of-mass-separation","display_name":"center-of-mass separation","score":0.6909999847412109},{"id":"https://openalex.org/keywords/discrete-variable-representation","display_name":"discrete variable representation","score":0.5619999766349792},{"id":"https://openalex.org/keywords/collocations","display_name":"collocations","score":0.48500001430511475},{"id":"https://openalex.org/keywords/quantum-many-body-theory","display_name":"quantum many-body theory","score":0.4569999873638153}],"concepts":[{"id":"https://openalex.org/C146160929","wikidata":"https://www.wikidata.org/wiki/Q751290","display_name":"Euler angles","level":2,"score":0.7834669947624207},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7613793015480042},{"id":"https://openalex.org/C105815890","wikidata":"https://www.wikidata.org/wiki/Q1057607","display_name":"Generalized coordinates","level":2,"score":0.5948696136474609},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.5931435227394104},{"id":"https://openalex.org/C136364276","wikidata":"https://www.wikidata.org/wiki/Q6666761","display_name":"Log-polar coordinates","level":3,"score":0.5492683053016663},{"id":"https://openalex.org/C31971599","wikidata":"https://www.wikidata.org/wiki/Q1000646","display_name":"Action-angle coordinates","level":3,"score":0.5363240242004395},{"id":"https://openalex.org/C88977231","wikidata":"https://www.wikidata.org/wiki/Q681406","display_name":"Euler's rotation theorem","level":3,"score":0.5078290104866028},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4978618621826172},{"id":"https://openalex.org/C27451561","wikidata":"https://www.wikidata.org/wiki/Q2588831","display_name":"Orthogonal coordinates","level":2,"score":0.48315495252609253},{"id":"https://openalex.org/C113504408","wikidata":"https://www.wikidata.org/wiki/Q2373660","display_name":"Parabolic coordinates","level":4,"score":0.4696371257305145},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.44983160495758057},{"id":"https://openalex.org/C3768446","wikidata":"https://www.wikidata.org/wiki/Q877100","display_name":"Spherical harmonics","level":2,"score":0.44534602761268616},{"id":"https://openalex.org/C126990412","wikidata":"https://www.wikidata.org/wiki/Q203218","display_name":"Spherical coordinate system","level":2,"score":0.43443575501441956},{"id":"https://openalex.org/C83633838","wikidata":"https://www.wikidata.org/wiki/Q1256564","display_name":"Rotation matrix","level":2,"score":0.4233604669570923},{"id":"https://openalex.org/C172849965","wikidata":"https://www.wikidata.org/wiki/Q3148875","display_name":"Reference frame","level":3,"score":0.41540712118148804},{"id":"https://openalex.org/C206647686","wikidata":"https://www.wikidata.org/wiki/Q2383591","display_name":"Bipolar coordinates","level":3,"score":0.4121624827384949},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39147886633872986},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.38750243186950684},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2734251022338867},{"id":"https://openalex.org/C6342182","wikidata":"https://www.wikidata.org/wiki/Q2995427","display_name":"Rotation around a fixed axis","level":2,"score":0.19132810831069946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18341156840324402},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.14602398872375488},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1103/physreva.45.6217","doi":"https://doi.org/10.1103/physreva.45.6217","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreva.45.6217","pdf_url":null,"source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review A","raw_type":"journal-article"},{"id":"pmid:9907741","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/9907741","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,"listed_in":[],"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":"Physical review. A, Atomic, molecular, and optical physics","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":123,"referenced_works":["https://openalex.org/W118455662","https://openalex.org/W992393567","https://openalex.org/W1524643868","https://openalex.org/W1964866668","https://openalex.org/W1964966505","https://openalex.org/W1965026989","https://openalex.org/W1966801731","https://openalex.org/W1969001756","https://openalex.org/W1969147749","https://openalex.org/W1971685507","https://openalex.org/W1976389500","https://openalex.org/W1977871442","https://openalex.org/W1978573580","https://openalex.org/W1978824119","https://openalex.org/W1983091080","https://openalex.org/W1983377221","https://openalex.org/W1984852586","https://openalex.org/W1985198358","https://openalex.org/W1985500590","https://openalex.org/W1985861446","https://openalex.org/W1988738006","https://openalex.org/W1988740582","https://openalex.org/W1988812990","https://openalex.org/W1989014228","https://openalex.org/W1989188476","https://openalex.org/W1990591270","https://openalex.org/W1992863078","https://openalex.org/W1996175943","https://openalex.org/W1997164562","https://openalex.org/W1997288900","https://openalex.org/W1998882715","https://openalex.org/W2000348502","https://openalex.org/W2003503224","https://openalex.org/W2005319895","https://openalex.org/W2006457005","https://openalex.org/W2006646579","https://openalex.org/W2006869700","https://openalex.org/W2007212703","https://openalex.org/W2007361895","https://openalex.org/W2009439513","https://openalex.org/W2009731341","https://openalex.org/W2011525639","https://openalex.org/W2012824146","https://openalex.org/W2013008589","https://openalex.org/W2013083269","https://openalex.org/W2015329029","https://openalex.org/W2016185365","https://openalex.org/W2019318938","https://openalex.org/W2023197402","https://openalex.org/W2023276276","https://openalex.org/W2023566281","https://openalex.org/W2026543435","https://openalex.org/W2027036323","https://openalex.org/W2027485751","https://openalex.org/W2027624049","https://openalex.org/W2028507599","https://openalex.org/W2028848413","https://openalex.org/W2033336421","https://openalex.org/W2035925330","https://openalex.org/W2038237940","https://openalex.org/W2039695800","https://openalex.org/W2040139145","https://openalex.org/W2042000790","https://openalex.org/W2042651455","https://openalex.org/W2045725322","https://openalex.org/W2046977823","https://openalex.org/W2049191616","https://openalex.org/W2050085433","https://openalex.org/W2052307637","https://openalex.org/W2052372639","https://openalex.org/W2053097217","https://openalex.org/W2055719579","https://openalex.org/W2057523404","https://openalex.org/W2059096048","https://openalex.org/W2059269953","https://openalex.org/W2062364024","https://openalex.org/W2065085775","https://openalex.org/W2067663666","https://openalex.org/W2068839195","https://openalex.org/W2069521642","https://openalex.org/W2069800030","https://openalex.org/W2070089774","https://openalex.org/W2070109524","https://openalex.org/W2070780695","https://openalex.org/W2070884652","https://openalex.org/W2072636333","https://openalex.org/W2072964359","https://openalex.org/W2073125394","https://openalex.org/W2073204592","https://openalex.org/W2086454532","https://openalex.org/W2089398223","https://openalex.org/W2090070021","https://openalex.org/W2090845443","https://openalex.org/W2090883604","https://openalex.org/W2091496092","https://openalex.org/W2094234781","https://openalex.org/W2094405306","https://openalex.org/W2094706090","https://openalex.org/W2095733121","https://openalex.org/W2097328961","https://openalex.org/W2102416188","https://openalex.org/W2105417031","https://openalex.org/W2123625178","https://openalex.org/W2128633210","https://openalex.org/W2130123624","https://openalex.org/W2142661453","https://openalex.org/W2146375729","https://openalex.org/W2157831252","https://openalex.org/W2168662301","https://openalex.org/W2169561047","https://openalex.org/W2170173923","https://openalex.org/W2179416492","https://openalex.org/W2316151563","https://openalex.org/W2339168568","https://openalex.org/W2614617395","https://openalex.org/W2752889077","https://openalex.org/W2985326701","https://openalex.org/W3094159383","https://openalex.org/W4232409431","https://openalex.org/W4238550685","https://openalex.org/W4238878431","https://openalex.org/W4285719527","https://openalex.org/W4299862354"],"related_works":["https://openalex.org/W2025659267","https://openalex.org/W2051831046","https://openalex.org/W1996270413","https://openalex.org/W2094672373","https://openalex.org/W1993642945","https://openalex.org/W2064519539","https://openalex.org/W2076225660","https://openalex.org/W1971728077","https://openalex.org/W1965771614","https://openalex.org/W1991796181"],"abstract_inverted_index":{"The":[0,47,136,147,190,205,219],"configuration":[1],"of":[2,17,22,25,68,70,76,84,101,121,124,154,179,194,215,300],"an":[3,119,270,292],"N-body":[4],"system":[5,142],"can":[6,35],"be":[7,36,227,237,250],"entirely":[8],"represented":[9],"by":[10],"N-1":[11,93,242],"relative":[12],"position":[13],"vectors":[14,109],"after":[15],"separation":[16],"the":[18,23,42,81,85,92,127,141,151,155,166,173,177,180,183,195,200,212,216,232,241,254,264,275,285,297],"center-of-mass":[19],"motion.":[20],"Many":[21],"sets":[24],"coordinates":[26,69,202],"that":[27,58,71,231],"are":[28,50,54,203,248],"commonly":[29],"used":[30],"for":[31,41,56,80,140,165,172,274,284,296],"describing":[32],"molecular":[33],"configurations":[34],"viewed":[37],"as":[38],"spherical":[39,48,170],"coordinates,":[40],"various":[43],"vectors,":[44,102],"collected":[45],"together.":[46],"angles":[49,79,98,106,168,223],"local;":[51],"i.e.,":[52],"they":[53],"defined":[55],"frames":[57],"change":[59],"from":[60],"one":[61,134],"vector":[62,94,197],"to":[63,133,226,236,249,253,290],"another.":[64],"Each":[65],"particular":[66],"set":[67,158,267],"nature":[72],"(polyspherical":[73],"coordinates)":[74],"consists":[75],"three":[77],"Euler":[78,167],"overall":[82],"rotation":[83,162],"body-fixed":[86],"frame":[87],"and":[88,103,169,176,192,199],"3N-6":[89],"internal":[90,174],"coordinates:":[91],"lengths,":[95],"N-2":[96],"planar":[97],"between":[99,107],"pairs":[100],"N-3":[104],"dihedral":[105],"two":[108],"around":[110],"a":[111,281],"third":[112],"one.":[113],"This":[114],"article":[115],"aims":[116],"at":[117],"developing":[118],"example":[120],"this":[122],"type":[123],"parametrization,":[125],"where":[126],"body-fixed-frame":[128],"z":[129],"axis":[130],"is":[131,145,159,186,208,235,288],"parallel":[132],"vector.":[135],"quantum-mechanical":[137],"kinetic-energy":[138,184,217,276],"operator":[139,148,185,277],"so":[143,230],"described":[144,187],"derived.":[146],"action":[149],"on":[150,240],"angular":[152,265],"part":[153],"functional":[156],"basis":[157,246,266],"studied":[160],"(Wigner":[161],"matrix":[163,181,213],"elements":[164,214],"harmonics":[171],"angles),":[175],"structure":[178],"representing":[182],"in":[188,209],"detail.":[189],"advantages":[191],"drawbacks":[193],"present":[196],"parametrization":[198],"polyspherical":[201],"discussed.":[204],"principal":[206],"advantage":[207],"numerically":[210],"calculating":[211],"operator:":[218],"integration":[220],"over":[221],"all":[222],"turns":[224],"out":[225],"analytically":[228],"achieved,":[229],"numerical":[233],"effort":[234],"concentrated":[238],"only":[239],"radial":[243],"coordinates.":[244],"Radial":[245],"functions":[247],"selected":[251],"according":[252],"physical":[255],"context":[256],"(collisonal":[257],"or":[258,260],"vibrational,":[259],"any":[261],"other).":[262],"Thus":[263],"proposed":[268],"constitutes":[269],"adequate":[271],"finite-basis":[272],"representation":[273,283],"and,":[278],"combined":[279],"with":[280],"discrete-variable":[282],"potential":[286],"energy,":[287],"likely":[289],"provide":[291],"efficient":[293],"collocation":[294],"framework":[295],"dynamical":[298],"study":[299],"more-than-three":[301],"particle":[302],"systems.":[303]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}