Two pitchfork bifurcations in the polar quadratic Zeeman-Stark effect

In the framework of classical mechanics, a study of the hydrogen atom in the presence of parallel electric and magnetic fields is presented when the magnetic quantum number m is zero. By means of perturbation methods and Poincaré surfaces of section, the existence of the three states experimentally...

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Autores: Salas, J.P. [0000-0003-2009-8247], Deprit, A., Ferrer, S., Lanchares, V. [0000-0003-3228-9382], Palacián, J. [0000-0002-0974-6656]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1998
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc68a0b750603269e80c6c
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc68a0b750603269e80c6c
Access Level:acceso abierto
Palabra clave:Bifurcation
Equilibria
Periodic orbits
Stark effect
Zeeman effect
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spelling Two pitchfork bifurcations in the polar quadratic Zeeman-Stark effectSalas, J.P. [0000-0003-2009-8247]Deprit, A.Ferrer, S.Lanchares, V. [0000-0003-3228-9382]Palacián, J. [0000-0002-0974-6656]BifurcationEquilibriaPeriodic orbitsStark effectZeeman effectIn the framework of classical mechanics, a study of the hydrogen atom in the presence of parallel electric and magnetic fields is presented when the magnetic quantum number m is zero. By means of perturbation methods and Poincaré surfaces of section, the existence of the three states experimentally detected by Cacciani et al. (the so-called I, II, and III Cacciani's states), their energy extensions, their evolution and their disappearance are explained as a result of two pitchfork bifurcations. © 1998 Elsevier Science B.V.1998info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc68a0b750603269e80c6creponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/wos/WOS:000073713600014info:eu-repo/semantics/altIdentifier/doi/10.1016/S0375-9601(98)00116-9info:eu-repo/semantics/altIdentifier/pissn/0375-9601Two pitchfork bifurcations in the polar quadratic Zeeman-Stark effect, 1998, vol. 242, núm. 1-2, pág. 83-93info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc68a0b750603269e80c6c2026-06-14T12:47:17Z
dc.title.none.fl_str_mv Two pitchfork bifurcations in the polar quadratic Zeeman-Stark effect
title Two pitchfork bifurcations in the polar quadratic Zeeman-Stark effect
spellingShingle Two pitchfork bifurcations in the polar quadratic Zeeman-Stark effect
Salas, J.P. [0000-0003-2009-8247]
Bifurcation
Equilibria
Periodic orbits
Stark effect
Zeeman effect
title_short Two pitchfork bifurcations in the polar quadratic Zeeman-Stark effect
title_full Two pitchfork bifurcations in the polar quadratic Zeeman-Stark effect
title_fullStr Two pitchfork bifurcations in the polar quadratic Zeeman-Stark effect
title_full_unstemmed Two pitchfork bifurcations in the polar quadratic Zeeman-Stark effect
title_sort Two pitchfork bifurcations in the polar quadratic Zeeman-Stark effect
dc.creator.none.fl_str_mv Salas, J.P. [0000-0003-2009-8247]
Deprit, A.
Ferrer, S.
Lanchares, V. [0000-0003-3228-9382]
Palacián, J. [0000-0002-0974-6656]
author Salas, J.P. [0000-0003-2009-8247]
author_facet Salas, J.P. [0000-0003-2009-8247]
Deprit, A.
Ferrer, S.
Lanchares, V. [0000-0003-3228-9382]
Palacián, J. [0000-0002-0974-6656]
author_role author
author2 Deprit, A.
Ferrer, S.
Lanchares, V. [0000-0003-3228-9382]
Palacián, J. [0000-0002-0974-6656]
author2_role author
author
author
author
dc.subject.none.fl_str_mv Bifurcation
Equilibria
Periodic orbits
Stark effect
Zeeman effect
topic Bifurcation
Equilibria
Periodic orbits
Stark effect
Zeeman effect
description In the framework of classical mechanics, a study of the hydrogen atom in the presence of parallel electric and magnetic fields is presented when the magnetic quantum number m is zero. By means of perturbation methods and Poincaré surfaces of section, the existence of the three states experimentally detected by Cacciani et al. (the so-called I, II, and III Cacciani's states), their energy extensions, their evolution and their disappearance are explained as a result of two pitchfork bifurcations. © 1998 Elsevier Science B.V.
publishDate 1998
dc.date.none.fl_str_mv 1998
dc.type.none.fl_str_mv info:eu-repo/semantics/article
Subtype: Article
info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.none.fl_str_mv https://investigacion.unirioja.es/documentos/5bbc68a0b750603269e80c6c
url https://investigacion.unirioja.es/documentos/5bbc68a0b750603269e80c6c
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/wos/WOS:000073713600014
info:eu-repo/semantics/altIdentifier/doi/10.1016/S0375-9601(98)00116-9
info:eu-repo/semantics/altIdentifier/pissn/0375-9601
Two pitchfork bifurcations in the polar quadratic Zeeman-Stark effect, 1998, vol. 242, núm. 1-2, pág. 83-93
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reponame_str RIUR. Repositorio Institucional de la Universidad de La Rioja
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