dc.creator | Mertens, Franz G. | es |
dc.creator | Cooper, Fred | es |
dc.creator | Quintero, Niurka R. | es |
dc.creator | Sihong, Shao | es |
dc.creator | Khare, Avinash | es |
dc.creator | Saxena, Avadh | es |
dc.date.accessioned | 2018-11-23T09:09:35Z | |
dc.date.available | 2018-11-23T09:09:35Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Mertens, F.G., Cooper, F., Quintero, N.R., Sihong, S., Khare, A. y Saxena, A. (2016). Solitary waves in the nonlinear Dirac equation in the presence of external driving forces. Journal of Physics A: Mathematical and Theoretical, 49, 065402-1-065402-23. | |
dc.identifier.issn | 1751-8113 | es |
dc.identifier.uri | https://hdl.handle.net/11441/80466 | |
dc.description.abstract | We consider the nonlinear Dirac (NLD) equation in 1+1 dimension with scalar-scalar selfinteraction
in the presence of external forces as well as damping of the form f (x, t) - ιμγͦψ, where
both f and ψ are two-component spinors. We develop an approximate variational approach using
collective coordinates (CC) for studying the time dependent response of the solitary waves to
these external forces. This approach predicts intrinsic oscillations of the solitary waves, i.e. the
amplitude, width and phase all oscillate with the same frequency. The translational motion is also
a ected, because the soliton position oscillates around a mean trajectory. We then compare the
results of the variational approximation with numerical simulations of the NLD equation, and nd
a good agreement, if we take into account a certain linear excitation with speci c wavenumber that
is excited together with the intrinsic oscillations such that the momentum in a transformed NLD
equation is conserved. We also solve explicitly the CC equations of the variational approximation
in the non-relativistic regime for a homogeneous external force and obtain excellent agreement with
the numerical solution of the CC equations. | es |
dc.description.sponsorship | United States Department of Energy | es |
dc.description.sponsorship | Santa Fe Institute | es |
dc.description.sponsorship | National Natural Science Foundation of China (Nos. 11471025, 91330110, 11421101) | es |
dc.description.sponsorship | Alexander von Humboldt Foundation (Germany) through Research Fellowship for Experienced Researchers SPA 1146358 STP | es |
dc.description.sponsorship | MICINN (Spain) through FIS2014-54497-P | es |
dc.description.sponsorship | Junta de Andalucía (Spain) under Projects No. FQM207, No. P06-FQM-01735, and No. P09-FQM-4643 | es |
dc.description.sponsorship | Mathematical Institute of the University of Seville (IMUS) | es |
dc.description.sponsorship | Theoretical Division and Center for Nonlinear Studies at Los Alamos National Laboratory | es |
dc.description.sponsorship | Plan Propio of the University of Seville | es |
dc.description.sponsorship | MICINN (Spain) through FIS2014-54497-P | es |
dc.description.sponsorship | Department of Atomic Energy, Government of India | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | IOP | es |
dc.relation.ispartof | Journal of Physics A: Mathematical and Theoretical, 49, 065402-1-065402-23. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Solitary waves in the nonlinear Dirac equation in the presence of external driving forces | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Física Aplicada I | es |
dc.relation.projectID | 11471025 | es |
dc.relation.projectID | 91330110 | es |
dc.relation.projectID | 11421101 | es |
dc.relation.projectID | SPA 1146358 STP | es |
dc.relation.projectID | FIS2014-54497-P | es |
dc.relation.projectID | FQM207 | es |
dc.relation.projectID | P06-FQM-01735 | es |
dc.relation.projectID | P09-FQM-4643 | es |
dc.relation.projectID | FIS2014-54497-P | es |
dc.relation.publisherversion | http://iopscience.iop.org/article/10.1088/1751-8113/49/6/065402 | es |
dc.identifier.doi | 10.1088/1751-8113/49/6/065402 | es |
dc.contributor.group | Universidad de Sevilla. FQM-207 Física Atómica y Molecular | es |
idus.format.extent | 25 p. | es |
dc.journaltitle | Journal of Physics A: Mathematical and Theoretical | es |
dc.publication.volumen | 49 | es |
dc.publication.initialPage | 065402-1 | es |
dc.publication.endPage | 065402-23 | es |
dc.identifier.sisius | 21042114 | es |