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Descriptions of Relativistic Dynamics with World Line Condition

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dc.affiliation.dptoUC3M. Departamento de MatemĂ¡ticases
dc.affiliation.grupoinvUC3M. Grupo de InvestigaciĂ³n: MatemĂ¡tica Aplicada a Control, Sistemas y Señaleses
dc.contributor.authorCiaglia, Florio Maria
dc.contributor.authorDi Cosmo, Fabio
dc.contributor.authorIbort Latre, Luis Alberto
dc.contributor.authorMarmo, Giuseppe
dc.contributor.funderComunidad de Madrides
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2023-09-06T09:19:18Z
dc.date.available2023-09-06T09:19:18Z
dc.date.issued2019-10-19
dc.description.abstractIn this paper, a generalized form of relativistic dynamics is presented. A realization of the Poincaré algebra is provided in terms of vector fields on the tangent bundle of a simultaneity surface in R4 . The construction of this realization is explicitly shown to clarify the role of the commutation relations of the Poincaré algebra versus their description in terms of Poisson brackets in the no-interaction theorem. Moreover, a geometrical analysis of the "eleventh generator" formalism introduced by Sudarshan and Mukunda is outlined, this formalism being at the basis of many proposals which evaded the no-interaction theorem.en
dc.description.sponsorshipF.D.C. and A.I. would like to thank partial support provided by the MINECO research project MTM2017-84098-P and QUITEMAD++, S2018/TCS-A4342. A.I. and G.M. acknowledge financial support from the Spanish Ministry of Economy and Competitiveness, through the Severo Ochoa Programme for Centres of Excellence in RD(SEV-2015/0554). G.M. would like to thank the support provided by the Santander/UC3M Excellence Chair Programme 2019/2020, and he is also a member of the Gruppo Nazionale di Fisica Matematica (INDAM), Italy.en
dc.format.extent12es
dc.identifier.bibliographicCitationCiaglia, F. M., Di Cosmo, F., Ibort, A., & Marmo, G. (2019). Descriptions of relativistic dynamics with world line condition. Quantum reports, 1(2), 181-192.en
dc.identifier.doihttps://doi.org/10.3390/quantum1020016
dc.identifier.issn2624-960X
dc.identifier.publicationfirstpage181es
dc.identifier.publicationissue2es
dc.identifier.publicationlastpage192es
dc.identifier.publicationtitleQuantum Reportsen
dc.identifier.publicationvolume1es
dc.identifier.urihttps://hdl.handle.net/10016/38242
dc.identifier.uxxiAR/0000026109
dc.language.isoengen
dc.publisherMDPIen
dc.relation.projectIDGobierno de España. MTM2017-84098-Pes
dc.relation.projectIDComunidad de Madrid. S2018/TCS-4342es
dc.rights© 2019 by the authors. Licensee MDPI, Basel, Switzerland.en
dc.rightsAtribuciĂ³n 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subject.ecienciaFĂ­sicaes
dc.subject.ecienciaMatemĂ¡ticases
dc.subject.ecienciaTelecomunicacioneses
dc.subject.otherRelativistic dynamicsen
dc.subject.otherNo-interaction theoremen
dc.subject.otherWorld line conditionen
dc.titleDescriptions of Relativistic Dynamics with World Line Conditionen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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