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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Detalles Bibliográficos
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
Descripción
Sumario: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.