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...
| Autores: | , , , , |
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| 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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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 |
| format |
article |
| 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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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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reponame:RIUR. Repositorio Institucional de la Universidad de La Rioja instname:Universidad de La Rioja (UR) |
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Universidad de La Rioja (UR) |
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RIUR. Repositorio Institucional de la Universidad de La Rioja |
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RIUR. Repositorio Institucional de la Universidad de La Rioja |
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