Dynamics of charges and solitons

Barros, Manuel; Ferrández Izquierdo, Ángel; Garay, Oscar J.

Publication:
Dynamics of charges and solitons

dc.contributor.author	Barros, Manuel
dc.contributor.author	Ferrández Izquierdo, Ángel
dc.contributor.author	Garay, Oscar J.
dc.contributor.department	Matemáticas
dc.contributor.department	Geometría y Topología, Universidad de Granada
dc.contributor.department	Matemáticas, Universidad del País Vasco
dc.date.accessioned	2021-02-12T01:11:59Z
dc.date.available	2021-02-12T01:11:59Z
dc.date.issued	2018
dc.description.abstract	We first show that trajectories traced by charges moving in rotational magnetic fields are are, basically, the non-parallel geodesics of surfaces of revolution with coincident axis. Thus, people living in a surface of revolution are not able to sense the magnetic Hall e↵ect induced by the surrounding magnetic field and perceive charges as influenced, exclusively, by the gravity action on the surface of revolution. Secondly, the extended Hasimoto transformations are introduced and then used to identify trajectories of charges moving through a Killing rotational magnetic fields in terms of non-circular elastic curves. As a consequence, we see that in this case charges evolve along trajectories which are obtained as extended Hasimoto transforms of solitons of the filament equation.	es
dc.format	application/pdf	es
dc.format.extent	20	es
dc.identifier.citation	Journal of Geometry and Physics, Volume 125 (2018), Pages 12-22
dc.identifier.doi	10.1016/j.geomphys.2017.12.003
dc.identifier.issn	0393-0440
dc.identifier.uri	http://hdl.handle.net/10201/103141
dc.language	eng	es
dc.publisher	Elsevier	es
dc.relation	MB by MINECO-FEDER grant MTM2013-47828-C2-1-P and J. Andalucía Regional Grant P09-FQM-4496; AF by MINECO-FEDER grant MTM2015-65430-P; OJG by MINECO-FEDER grant MTM2014-54804-P and Gobierno Vasco grant IT1094-16. The three authors by Fundación Séneca project 19901/GERM/15	es
dc.relation.publisherversion	https://www.sciencedirect.com/science/article/pii/S0393044017303054?via=ihub	es
dc.rights	info:eu-repo/semantics/openAccess	es
dc.rights	Atribución-NoComercial-SinDerivadas 3.0 España	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/	*
dc.subject	Lorentz force, Killing magnetic field, elastic curve, extended Hasimoto transformation	es
dc.subject.other	CDU::5 - Ciencias puras y naturales::51 - Matemáticas::514 - Geometría	es
dc.title	Dynamics of charges and solitons	es
dc.type	info:eu-repo/semantics/article	es
dspace.entity.type	Publication	es