{"id":"https://openalex.org/W3098476773","doi":null,"title":"The Barut second-order equation, dynamical invariants and interactions","display_name":"The Barut second-order equation, dynamical invariants and interactions","publication_year":2013,"publication_date":"2013-09-13","ids":{"openalex":"https://openalex.org/W3098476773","mag":"3098476773"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.340.2441","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.340.2441","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math-ph/0503008v1.pdf","raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"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/A5111565269","display_name":"Valeri V. Dvoeglazov","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I47400469","display_name":"Universidad Aut\u00f3noma de Zacatecas \"Francisco Garc\u00eda Salinas\"","ror":"https://ror.org/01m296r74","country_code":"MX","type":"education","lineage":["https://openalex.org/I47400469"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Valeri V. Dvoeglazov","raw_affiliation_strings":["Universidad de Zacatecas, Apartado Postal 636, Suc. UAZ Zacatecas 98062 Zac. M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad de Zacatecas, Apartado Postal 636, Suc. UAZ Zacatecas 98062 Zac. M\u00e9xico","institution_ids":["https://openalex.org/I47400469"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111565269"],"corresponding_institution_ids":["https://openalex.org/I47400469"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.8047000169754028,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.8047000169754028,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T11960","display_name":"Relativity and Gravitational Theory","score":0.0731000006198883,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.04780000075697899,"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/lorentz-group","display_name":"Lorentz group","score":0.8379999995231628},{"id":"https://openalex.org/keywords/dynamical-invariants","display_name":"dynamical invariants","score":0.9390000104904175},{"id":"https://openalex.org/keywords/noether-currents","display_name":"conserved currents","score":0.7950000166893005},{"id":"https://openalex.org/keywords/fine-structure-constant","display_name":"fine-structure constant","score":0.8259999752044678},{"id":"https://openalex.org/keywords/anomalous-magnetic-moment","display_name":"anomalous magnetic moment","score":0.9570000171661377}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6214210987091064},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6197926998138428},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6148545742034912},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4884625971317291},{"id":"https://openalex.org/C150523333","wikidata":"https://www.wikidata.org/wiki/Q1334417","display_name":"Lorentz group","level":3,"score":0.46087461709976196},{"id":"https://openalex.org/C5667645","wikidata":"https://www.wikidata.org/wiki/Q217255","display_name":"Lorentz transformation","level":2,"score":0.45811596512794495},{"id":"https://openalex.org/C179203047","wikidata":"https://www.wikidata.org/wiki/Q82586","display_name":"Lepton","level":3,"score":0.4566565752029419},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.41160619258880615},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2892336845397949},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.24341580271720886},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.07336556911468506},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.340.2441","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.340.2441","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math-ph/0503008v1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1508439018","https://openalex.org/W1642827677","https://openalex.org/W1672895040","https://openalex.org/W1809119562","https://openalex.org/W1983468577","https://openalex.org/W2009817576","https://openalex.org/W2037906534","https://openalex.org/W2053724981","https://openalex.org/W2054330023","https://openalex.org/W2062809622","https://openalex.org/W2101661664","https://openalex.org/W2160945204","https://openalex.org/W3143815958"],"related_works":["https://openalex.org/W2004506380","https://openalex.org/W3098615407","https://openalex.org/W1809119562","https://openalex.org/W1628842096","https://openalex.org/W7096100801","https://openalex.org/W7098024760","https://openalex.org/W2158155496","https://openalex.org/W2004837820","https://openalex.org/W2039767375","https://openalex.org/W1980592520"],"abstract_inverted_index":{"The":[0,88,313],"second-order":[1],"equation":[2,69,91],"in":[3,19,115,320],"the":[4,10,20,23,31,40,50,65,68,71,75,82,85,109,119,123,147,178,191,208,212,215,223,250,264,307,318,321],"(1/2,":[5,322],"0)\u2295(0,":[6],"1/2)":[7,326],"representation":[8,121,327],"of":[9,22,34,84,118,122,139,164,252,317],"Lorentz":[11,308],"group":[12],"has":[13,42,143,247,281,328],"been":[14,282,329],"proposed":[15],"by":[16,52,284,331],"A.":[17],"Barut":[18,89,246],"beginning":[21],"70s,":[24],"ref.":[25],"[1].":[26],"It":[27,104],"permits":[28],"to":[29,44,201,210,233],"explain":[30],"mass":[32],"splitting":[33],"leptons":[35],"(e,":[36],"\u00b5,":[37],"\u03c4).":[38],"Recently,":[39],"interest":[41],"grown":[43],"this":[45,79],"model":[46],"(see,":[47],"for":[48,78,300],"instance,":[49],"papers":[51],"S.":[53],"Kruglov":[54],"[2]":[55],"and":[56,229],"J.":[57],"P.":[58],"Vigier":[59],"et":[60],"al.":[61],"[3]).":[62],"We":[63],"continue":[64],"research":[66],"deriving":[67],"from":[70],"first":[72],"principles,":[73],"finding":[74],"dynamical":[76],"invariants":[77],"model,":[80],"investigating":[81],"influence":[83],"potential":[86],"interactions.":[87],"main":[90],"is":[92,113,170,177,188],"\u2202\u00b5\u2202\u00b5":[93],"[i\u03b3\u00b5\u2202\u00b5":[94],"\u2212":[95],"\u03b12":[96,192],"+":[97,156,303,351],"\u03ba]\u03a8":[98],"=":[99,128,133,152,172,268,277,294,298,338],"0.":[100],"(1)":[101],"m":[102],"\u2022":[103,137,203,245],"represents":[105],"a":[106,184],"theory":[107],"with":[108,146,334],"conserved":[110],"current":[111],"that":[112,183,275,292],"linear":[114],"15":[116],"generators":[117],"4-dimensional":[120],"O(4,":[124],"2)":[125],"group,":[126],"Nab":[127],"i":[129],"2":[130,297,341],"\u03b3a\u03b3b,":[131],"\u03b3a":[132],"{\u03b3\u00b5,":[134],"\u03b35,":[135],"i}.":[136],"Instead":[138],"4":[140],"solutions":[141,145],"it":[142,161],"8":[144],"correct":[148],"relativistic":[149],"relation":[150,319],"E":[151],"\u00b1":[153],"\u221a":[154],"p2":[155],"m2":[157],"i.":[158],"In":[159],"fact,":[160],"describes":[162],"states":[163,273],"different":[165],"masses":[166],"(the":[167,194],"second":[168],"one":[169],"m\u00b5":[171],"me(1+":[173],"3":[174],"2\u03b1),":[175],"\u03b1":[176],"fine":[179],"structure":[180],"constant),":[181],"provided":[182],"certain":[185],"physical":[186],"condition":[187],"imposed":[189],"on":[190,227],"parameter":[193],"anomalous":[195],"magentic":[196],"moment":[197],"should":[198],"be":[199,352],"equal":[200],"4\u03b1/3).":[202],"One":[204],"can":[205],"also":[206],"generalize":[207],"formalism":[209],"include":[211],"third":[213],"state,":[214],"\u03c4-lepton":[216],"[1b].":[217],"\u2217":[218,350],"A":[219],"talk":[220],"given":[221,283,330],"at":[222,249],"VI":[224],"Mexican":[225],"School":[226],"Gravitation":[228],"Mathematical":[230],"Physics":[231],"\u201cApproaches":[232],"Quantum":[234],"Gravity\u201d,":[235],"Nov.":[236],"21-27,":[237],"2004,":[238],"Playa":[239],"del":[240],"Carmen,":[241],"QR,":[242],"M\u00e9xico.":[243],"1":[244,312,340],"indicated":[248],"possibility":[251],"including":[253],"\u03b35":[254],"terms":[255],"(":[256],"e.g.,":[257],"\u223c":[258],"\u03b35\u03ba":[259],"\u2032":[260],"If":[261],"we":[262],"present":[263],"4-spinor":[265],"as":[266],"\u03a8(p)":[267],"column(\u03c6R(p))":[269],"\u03c6L(p))":[270],"then":[271],"Ryder":[272],"[5]":[274],"\u03c6R(0)":[276],"\u03c6L(0).":[278],"Similar":[279],"argument":[280],"Faustov":[285],"[6]:":[286],"\u201cthe":[287],"matrix":[288],"B":[289,296],"exists":[290],"such":[291],"Bu\u03bb(0)":[293],"u\u03bb(0),":[295],"I":[299],"any":[301],"(2J":[302],"1)component":[304],"function":[305],"within":[306],"invariant":[309],"theories":[310],"\u201d":[311],"most":[314],"general":[315],"form":[316],"0)":[323],"\u2295":[324],"(0,":[325],"Dvoeglazov":[332],"[7,4a]:":[333],"\u03c6":[335],"h":[336],"L(0)":[337],"a(\u22121)":[339],"\u2212h":[342,347],"e":[343],"i(\u03b81+\u03b82)":[344],"\u0398":[345],"1/2[\u03c6":[346],"L":[348],"(0)]":[349],"2i\u03b8h":[353]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2020-11-23T00:00:00"}
