Mostrar el registro sencillo del ítem
dc.contributor.author | Tung, Michael Ming-Sha | es_ES |
dc.date.accessioned | 2022-03-10T19:04:53Z | |
dc.date.available | 2022-03-10T19:04:53Z | |
dc.date.issued | 2021-02 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/181382 | |
dc.description.abstract | [EN] We present the relativistic generalization of the classical harmonic oscillator suspended within a uniform gravitational field measured by an observer in a laboratory in which the suspension point of the spring is fixed. The starting point of this analysis is a variational approach based on the Euler-Lagrange formalism. Due to the conceptual differences of mass in the framework of special relativity compared with the classical model, the correct treatment of the relativistic gravitational potential requires special attention. It is proved that the corresponding relativistic equation of motion has unique periodic solutions. Some approximate analytical results including the next-to-leading-order term in the non-relativistic limit are also examined. The discussion is rounded up with a numerical simulation of the full relativistic results in the case of a strong gravity field. Finally, the dynamics of the model is further explored by investigating phase space and its quantitative relativistic features. | es_ES |
dc.description.sponsorship | This work has been supported by the Spanish Ministerio de Economia y Competitividad, the European Regional Development Fund (ERDF) under grant TIN2017-89314-P, and the Programa de Apoyo a la Investigacion y Desarrollo 2018 (PAID-06-18) of the Universitat Politecnica de Valencia under grant SP20180016. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | MDPI AG | es_ES |
dc.relation.ispartof | Mathematics | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject | Relativistic harmonic oscillator | es_ES |
dc.subject | Kinematics of a particle | es_ES |
dc.subject | Special relativity | es_ES |
dc.subject | Nonlinear problems in mechanics | es_ES |
dc.subject | Equations of motion in gravitational theory | es_ES |
dc.title | The relativistic harmonic oscillator in a uniform gravitational field | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.3390/math9040294 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/UPV//SP20180016/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/UPV-VIN//PAID-06-08-3307//ALGUNAS APLICACIONES DE LOS SPLINES MATRICIALES / | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI//TIN2017-89314-P-AR//LIBRERÍAS DE ALTAS PRESTACIONES PARA EL CÁLCULO DE FUNCIONES DE MATRICES Y APLICACIONES/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.description.bibliographicCitation | Tung, MM. (2021). The relativistic harmonic oscillator in a uniform gravitational field. Mathematics. 9(4):1-12. https://doi.org/10.3390/math9040294 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.3390/math9040294 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 12 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 9 | es_ES |
dc.description.issue | 4 | es_ES |
dc.identifier.eissn | 2227-7390 | es_ES |
dc.relation.pasarela | S\444802 | es_ES |
dc.contributor.funder | AGENCIA ESTATAL DE INVESTIGACION | es_ES |
dc.contributor.funder | European Regional Development Fund | es_ES |
dc.contributor.funder | UNIVERSIDAD POLITECNICA DE VALENCIA | es_ES |
dc.contributor.funder | Universitat Politècnica de València | es_ES |