{"id":"https://openalex.org/W2770428038","doi":"https://doi.org/10.3390/sym10010002","title":"Behaviour of Charged Spinning Massless Particles","display_name":"Behaviour of Charged Spinning Massless Particles","publication_year":2017,"publication_date":"2017-12-22","ids":{"openalex":"https://openalex.org/W2770428038","doi":"https://doi.org/10.3390/sym10010002","mag":"2770428038"},"language":"en","primary_location":{"id":"doi:10.3390/sym10010002","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10010002","pdf_url":"https://www.mdpi.com/2073-8994/10/1/2/pdf?version=1513957304","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/10/1/2/pdf?version=1513957304","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002429940","display_name":"Ivan Morales","orcid":"https://orcid.org/0000-0003-1096-3946"},"institutions":[{"id":"https://openalex.org/I146165071","display_name":"Universidade Federal de Vi\u00e7osa","ror":"https://ror.org/0409dgb37","country_code":"BR","type":"education","lineage":["https://openalex.org/I146165071"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Ivan Morales","raw_affiliation_strings":["Department of Physics, Federal University of Vi\u00e7osa, UFV, BR-36570-900 Vi\u00e7osa, MG , Brazil"],"raw_orcid":"https://orcid.org/0000-0003-1096-3946","affiliations":[{"raw_affiliation_string":"Department of Physics, Federal University of Vi\u00e7osa, UFV, BR-36570-900 Vi\u00e7osa, MG , Brazil","institution_ids":["https://openalex.org/I146165071"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061214231","display_name":"Bruno Neves","orcid":"https://orcid.org/0000-0003-2073-9323"},"institutions":[{"id":"https://openalex.org/I146165071","display_name":"Universidade Federal de Vi\u00e7osa","ror":"https://ror.org/0409dgb37","country_code":"BR","type":"education","lineage":["https://openalex.org/I146165071"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Bruno Neves","raw_affiliation_strings":["Department of Physics, Federal University of Vi\u00e7osa, UFV, BR-36570-900 Vi\u00e7osa, MG , Brazil"],"raw_orcid":"https://orcid.org/0000-0003-2073-9323","affiliations":[{"raw_affiliation_string":"Department of Physics, Federal University of Vi\u00e7osa, UFV, BR-36570-900 Vi\u00e7osa, MG , Brazil","institution_ids":["https://openalex.org/I146165071"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055377523","display_name":"Zui Oporto","orcid":"https://orcid.org/0000-0002-3994-7184"},"institutions":[{"id":"https://openalex.org/I146165071","display_name":"Universidade Federal de Vi\u00e7osa","ror":"https://ror.org/0409dgb37","country_code":"BR","type":"education","lineage":["https://openalex.org/I146165071"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Zui Oporto","raw_affiliation_strings":["Department of Physics, Federal University of Vi\u00e7osa, UFV, BR-36570-900 Vi\u00e7osa, MG , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Federal University of Vi\u00e7osa, UFV, BR-36570-900 Vi\u00e7osa, MG , Brazil","institution_ids":["https://openalex.org/I146165071"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102817875","display_name":"Olivier Piguet","orcid":"https://orcid.org/0000-0002-4305-7897"},"institutions":[{"id":"https://openalex.org/I146165071","display_name":"Universidade Federal de Vi\u00e7osa","ror":"https://ror.org/0409dgb37","country_code":"BR","type":"education","lineage":["https://openalex.org/I146165071"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Olivier Piguet","raw_affiliation_strings":["Department of Physics, Federal University of Vi\u00e7osa, UFV, BR-36570-900 Vi\u00e7osa, MG , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Federal University of Vi\u00e7osa, UFV, BR-36570-900 Vi\u00e7osa, MG , Brazil","institution_ids":["https://openalex.org/I146165071"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102817875"],"corresponding_institution_ids":["https://openalex.org/I146165071"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.2808,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81321906,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"1","first_page":"2","last_page":"2"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.9991999864578247,"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/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.9991999864578247,"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/T12250","display_name":"Experimental and Theoretical Physics Studies","score":0.9987999796867371,"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/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.9983000159263611,"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/massless-particle","display_name":"Massless particle","score":0.8485507965087891},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.8272291421890259},{"id":"https://openalex.org/keywords/spin","display_name":"Spin (aerodynamics)","score":0.6364016532897949},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.6201834082603455},{"id":"https://openalex.org/keywords/electromagnetic-field","display_name":"Electromagnetic field","score":0.6038236618041992},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.5436259508132935},{"id":"https://openalex.org/keywords/lorentz-transformation","display_name":"Lorentz transformation","score":0.5223280787467957},{"id":"https://openalex.org/keywords/spinning","display_name":"Spinning","score":0.49507227540016174},{"id":"https://openalex.org/keywords/point-particle","display_name":"Point particle","score":0.494926393032074},{"id":"https://openalex.org/keywords/charged-particle","display_name":"Charged particle","score":0.4364824593067169},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.42519938945770264},{"id":"https://openalex.org/keywords/quantum-electrodynamics","display_name":"Quantum electrodynamics","score":0.41921114921569824},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.26863306760787964},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.09092795848846436}],"concepts":[{"id":"https://openalex.org/C54937798","wikidata":"https://www.wikidata.org/wiki/Q2024141","display_name":"Massless particle","level":2,"score":0.8485507965087891},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8272291421890259},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.6364016532897949},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.6201834082603455},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.6038236618041992},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.5436259508132935},{"id":"https://openalex.org/C5667645","wikidata":"https://www.wikidata.org/wiki/Q217255","display_name":"Lorentz transformation","level":2,"score":0.5223280787467957},{"id":"https://openalex.org/C154815118","wikidata":"https://www.wikidata.org/wiki/Q453762","display_name":"Spinning","level":2,"score":0.49507227540016174},{"id":"https://openalex.org/C175749648","wikidata":"https://www.wikidata.org/wiki/Q1068091","display_name":"Point particle","level":2,"score":0.494926393032074},{"id":"https://openalex.org/C35048267","wikidata":"https://www.wikidata.org/wiki/Q587553","display_name":"Charged particle","level":3,"score":0.4364824593067169},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.42519938945770264},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.41921114921569824},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.26863306760787964},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.09092795848846436},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C145148216","wikidata":"https://www.wikidata.org/wiki/Q36496","display_name":"Ion","level":2,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.3390/sym10010002","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10010002","pdf_url":"https://www.mdpi.com/2073-8994/10/1/2/pdf?version=1513957304","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1711.04127","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.04127","pdf_url":"https://arxiv.org/pdf/1711.04127","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:locus.ufv.br:123456789/23537","is_oa":true,"landing_page_url":"http://doi.org/10.3390/sym10010002","pdf_url":"http://www.locus.ufv.br/handle/123456789/23537","source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"instacron:UFV","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:americanae.aecid.es:1695833","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=1695833","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da UFV","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:americanae.aecid.es:1888696","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=1888696","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:LOCUS Reposit\u00f3rio Institucional da UFV","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:doaj.org/article:02797bb5ca8f413c90e47aae0ae28903","is_oa":true,"landing_page_url":"https://doaj.org/article/02797bb5ca8f413c90e47aae0ae28903","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":"Symmetry, Vol 10, Iss 1, p 2 (2017)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/10/1/2/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym10010002","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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym10010002","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10010002","pdf_url":"https://www.mdpi.com/2073-8994/10/1/2/pdf?version=1513957304","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.5600000023841858}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2770428038.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W156413212","https://openalex.org/W262711953","https://openalex.org/W1539813032","https://openalex.org/W1832702648","https://openalex.org/W1963999646","https://openalex.org/W1969845679","https://openalex.org/W1989198182","https://openalex.org/W2006524394","https://openalex.org/W2006999102","https://openalex.org/W2007087302","https://openalex.org/W2053193776","https://openalex.org/W2056559383","https://openalex.org/W2057855951","https://openalex.org/W2058786104","https://openalex.org/W2059932904","https://openalex.org/W2072575452","https://openalex.org/W2082107193","https://openalex.org/W2082517067","https://openalex.org/W2089677194","https://openalex.org/W2105685140","https://openalex.org/W2126711417","https://openalex.org/W2130694919","https://openalex.org/W2149035745","https://openalex.org/W2169220250","https://openalex.org/W2202306433","https://openalex.org/W2912359614","https://openalex.org/W2992431360","https://openalex.org/W3014845259","https://openalex.org/W3097996603","https://openalex.org/W3098568844","https://openalex.org/W3100486522","https://openalex.org/W3102110092","https://openalex.org/W3123156670","https://openalex.org/W4301244162","https://openalex.org/W6604779793","https://openalex.org/W6606329190"],"related_works":["https://openalex.org/W2591062851","https://openalex.org/W2026757695","https://openalex.org/W2039112855","https://openalex.org/W2059932904","https://openalex.org/W191334243","https://openalex.org/W3212768530","https://openalex.org/W2242450015","https://openalex.org/W2124432003","https://openalex.org/W2018276349","https://openalex.org/W1972795559"],"abstract_inverted_index":{"We":[0,46],"revisit":[1],"the":[2,36,41,49,53,62,73],"classical":[3],"theory":[4],"of":[5,28,72],"a":[6,25,70],"relativistic":[7],"massless":[8],"charged":[9],"point":[10],"particle":[11],"with":[12,16],"spin":[13],"and":[14,32,55],"interacting":[15],"an":[17],"external":[18,42],"electromagnetic":[19],"field.":[20],"In":[21],"particular,":[22],"we":[23,59],"give":[24],"proper":[26],"definition":[27],"its":[29,33],"kinetic":[30],"energy":[31],"total":[34],"energy,":[35],"latter":[37],"being":[38],"conserved":[39],"when":[40],"field":[43,75],"is":[44],"stationary.":[45],"also":[47],"write":[48],"conservation":[50],"laws":[51],"for":[52],"linear":[54],"angular":[56],"momenta.":[57],"Finally,":[58],"find":[60],"that":[61],"particle\u2019s":[63],"velocity":[64],"may":[65],"differ":[66],"from":[67],"c":[68],"as":[69],"result":[71],"spin\u2014electromagnetic":[74],"interaction,":[76],"without":[77],"jeopardizing":[78],"Lorentz":[79],"invariance.":[80]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}