Electric-field effects on the closed orbits of the diamagnetic Kepler problem

Detalhes bibliográficos
Autor(a) principal: Bleasdale, C.
Data de Publicação: 2016
Outros Autores: Bruno-Alfonso, A. [UNESP], Lewis, R. A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevA.93.023405
http://hdl.handle.net/11449/177803
Resumo: The nonrelativistic closed orbits of an electron interacting with a unit positive charge in the presence of homogeneous magnetic and electric fields are investigated. A simplified theoretical model is proposed utilizing appropriate initial conditions in semiparabolic coordinates for arbitrary magnetic- and electric-field alignments. The evolution of both the angular spectrum of orbits and the shape and duration of individual orbits, as the electric-field intensity and scaled energy are increased, is shown for the cases of both parallel and crossed fields. Orbit mixing in the high-field regime is investigated in the case of parallel fields, giving an indication of the system moving from the quasi-Landau chaotic regime to the electric-field-induced (Stark effect) regular regime. For crossed fields, it is shown that the Garton-Tomkins orbits lead to a pair of orbits that have opposite behaviors as a function of the electric-field intensity.
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spelling Electric-field effects on the closed orbits of the diamagnetic Kepler problemThe nonrelativistic closed orbits of an electron interacting with a unit positive charge in the presence of homogeneous magnetic and electric fields are investigated. A simplified theoretical model is proposed utilizing appropriate initial conditions in semiparabolic coordinates for arbitrary magnetic- and electric-field alignments. The evolution of both the angular spectrum of orbits and the shape and duration of individual orbits, as the electric-field intensity and scaled energy are increased, is shown for the cases of both parallel and crossed fields. Orbit mixing in the high-field regime is investigated in the case of parallel fields, giving an indication of the system moving from the quasi-Landau chaotic regime to the electric-field-induced (Stark effect) regular regime. For crossed fields, it is shown that the Garton-Tomkins orbits lead to a pair of orbits that have opposite behaviors as a function of the electric-field intensity.Institute for Superconducting and Electronic Materials School of Physics University of WollongongDepartamento de Matemática Faculdade de Ciências Unesp - Universidade Estadual PaulistaInstitute for Superconducting and Electronic Materials School of Physics Faculty of Engineering and Information Sciences University of WollongongDepartamento de Matemática Faculdade de Ciências Unesp - Universidade Estadual PaulistaUniversity of WollongongUniversidade Estadual Paulista (Unesp)Bleasdale, C.Bruno-Alfonso, A. [UNESP]Lewis, R. A.2018-12-11T17:27:11Z2018-12-11T17:27:11Z2016-02-05info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1103/PhysRevA.93.023405Physical Review A, v. 93, n. 2, 2016.2469-99342469-9926http://hdl.handle.net/11449/17780310.1103/PhysRevA.93.0234052-s2.0-849579916582-s2.0-84957991658.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Ainfo:eu-repo/semantics/openAccess2024-04-29T14:59:43Zoai:repositorio.unesp.br:11449/177803Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462024-04-29T14:59:43Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Electric-field effects on the closed orbits of the diamagnetic Kepler problem
title Electric-field effects on the closed orbits of the diamagnetic Kepler problem
spellingShingle Electric-field effects on the closed orbits of the diamagnetic Kepler problem
Bleasdale, C.
title_short Electric-field effects on the closed orbits of the diamagnetic Kepler problem
title_full Electric-field effects on the closed orbits of the diamagnetic Kepler problem
title_fullStr Electric-field effects on the closed orbits of the diamagnetic Kepler problem
title_full_unstemmed Electric-field effects on the closed orbits of the diamagnetic Kepler problem
title_sort Electric-field effects on the closed orbits of the diamagnetic Kepler problem
author Bleasdale, C.
author_facet Bleasdale, C.
Bruno-Alfonso, A. [UNESP]
Lewis, R. A.
author_role author
author2 Bruno-Alfonso, A. [UNESP]
Lewis, R. A.
author2_role author
author
dc.contributor.none.fl_str_mv University of Wollongong
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Bleasdale, C.
Bruno-Alfonso, A. [UNESP]
Lewis, R. A.
description The nonrelativistic closed orbits of an electron interacting with a unit positive charge in the presence of homogeneous magnetic and electric fields are investigated. A simplified theoretical model is proposed utilizing appropriate initial conditions in semiparabolic coordinates for arbitrary magnetic- and electric-field alignments. The evolution of both the angular spectrum of orbits and the shape and duration of individual orbits, as the electric-field intensity and scaled energy are increased, is shown for the cases of both parallel and crossed fields. Orbit mixing in the high-field regime is investigated in the case of parallel fields, giving an indication of the system moving from the quasi-Landau chaotic regime to the electric-field-induced (Stark effect) regular regime. For crossed fields, it is shown that the Garton-Tomkins orbits lead to a pair of orbits that have opposite behaviors as a function of the electric-field intensity.
publishDate 2016
dc.date.none.fl_str_mv 2016-02-05
2018-12-11T17:27:11Z
2018-12-11T17:27:11Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1103/PhysRevA.93.023405
Physical Review A, v. 93, n. 2, 2016.
2469-9934
2469-9926
http://hdl.handle.net/11449/177803
10.1103/PhysRevA.93.023405
2-s2.0-84957991658
2-s2.0-84957991658.pdf
url http://dx.doi.org/10.1103/PhysRevA.93.023405
http://hdl.handle.net/11449/177803
identifier_str_mv Physical Review A, v. 93, n. 2, 2016.
2469-9934
2469-9926
10.1103/PhysRevA.93.023405
2-s2.0-84957991658
2-s2.0-84957991658.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review A
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv repositoriounesp@unesp.br
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