Review of Classical Analytical Results for the Motion of a Rydberg Electron around a Polar Molecule under Magnetic or Electric Fields of Arbitrary Strengths in Axially Symmetric Configurations

We review classical studies of the oscillatory-precessional motion of an electron in the field of an electric dipole (the latter representing the polar molecule) with or without external magnetic or electric fields. The focus is on the most recent studies. In one study (at zero external field), it w...

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Autor principal:	Eugene Oks
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	polar molecule Rydberg electron axial symmetry magnetic field stabilization by electric field classical motion Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/187d78c765924932a8f3fa0ce1b109b0
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spelling	oai:doaj.org-article:187d78c765924932a8f3fa0ce1b109b02021-11-25T19:07:19ZReview of Classical Analytical Results for the Motion of a Rydberg Electron around a Polar Molecule under Magnetic or Electric Fields of Arbitrary Strengths in Axially Symmetric Configurations10.3390/sym131121712073-8994https://doaj.org/article/187d78c765924932a8f3fa0ce1b109b02021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2171https://doaj.org/toc/2073-8994We review classical studies of the oscillatory-precessional motion of an electron in the field of an electric dipole (the latter representing the polar molecule) with or without external magnetic or electric fields. The focus is on the most recent studies. In one study (at zero external field), it was shown that, generally, the oscillations being in the meridional direction and the precession being along parallels of latitude can take place on the same time scale—contrary to the statement from the previous literature. In another study, it was shown that a magnetic field enables new ranges of the bound oscillatory-precessional motion of the Rydberg electron and that in one of the new ranges, the period of the θ-oscillations has the non-monotonic dependence on primary parameter of the system. This is a <i>counterintuitive result</i>. In yet another study, it was shown that under the electric field there are two equilibrium circular states of a positive energy and one equilibrium state of a negative energy. The existence of the equilibrium state of the negative energy is a <i>counterintuitive result</i> since at the absence of the field, the bound state was possible only for the zero energy. Thus, it is a <i>counterintuitive result</i> that in this case the electric field can play the role of a <i>stabilizing factor</i>.Eugene OksMDPI AGarticlepolar moleculeRydberg electronaxial symmetrymagnetic fieldstabilization by electric fieldclassical motionMathematicsQA1-939ENSymmetry, Vol 13, Iss 2171, p 2171 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	polar molecule Rydberg electron axial symmetry magnetic field stabilization by electric field classical motion Mathematics QA1-939
spellingShingle	polar molecule Rydberg electron axial symmetry magnetic field stabilization by electric field classical motion Mathematics QA1-939 Eugene Oks Review of Classical Analytical Results for the Motion of a Rydberg Electron around a Polar Molecule under Magnetic or Electric Fields of Arbitrary Strengths in Axially Symmetric Configurations
description	We review classical studies of the oscillatory-precessional motion of an electron in the field of an electric dipole (the latter representing the polar molecule) with or without external magnetic or electric fields. The focus is on the most recent studies. In one study (at zero external field), it was shown that, generally, the oscillations being in the meridional direction and the precession being along parallels of latitude can take place on the same time scale—contrary to the statement from the previous literature. In another study, it was shown that a magnetic field enables new ranges of the bound oscillatory-precessional motion of the Rydberg electron and that in one of the new ranges, the period of the θ-oscillations has the non-monotonic dependence on primary parameter of the system. This is a <i>counterintuitive result</i>. In yet another study, it was shown that under the electric field there are two equilibrium circular states of a positive energy and one equilibrium state of a negative energy. The existence of the equilibrium state of the negative energy is a <i>counterintuitive result</i> since at the absence of the field, the bound state was possible only for the zero energy. Thus, it is a <i>counterintuitive result</i> that in this case the electric field can play the role of a <i>stabilizing factor</i>.
format	article
author	Eugene Oks
author_facet	Eugene Oks
author_sort	Eugene Oks
title	Review of Classical Analytical Results for the Motion of a Rydberg Electron around a Polar Molecule under Magnetic or Electric Fields of Arbitrary Strengths in Axially Symmetric Configurations
title_short	Review of Classical Analytical Results for the Motion of a Rydberg Electron around a Polar Molecule under Magnetic or Electric Fields of Arbitrary Strengths in Axially Symmetric Configurations
title_full	Review of Classical Analytical Results for the Motion of a Rydberg Electron around a Polar Molecule under Magnetic or Electric Fields of Arbitrary Strengths in Axially Symmetric Configurations
title_fullStr	Review of Classical Analytical Results for the Motion of a Rydberg Electron around a Polar Molecule under Magnetic or Electric Fields of Arbitrary Strengths in Axially Symmetric Configurations
title_full_unstemmed	Review of Classical Analytical Results for the Motion of a Rydberg Electron around a Polar Molecule under Magnetic or Electric Fields of Arbitrary Strengths in Axially Symmetric Configurations
title_sort	review of classical analytical results for the motion of a rydberg electron around a polar molecule under magnetic or electric fields of arbitrary strengths in axially symmetric configurations
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/187d78c765924932a8f3fa0ce1b109b0
work_keys_str_mv	AT eugeneoks reviewofclassicalanalyticalresultsforthemotionofarydbergelectronaroundapolarmoleculeundermagneticorelectricfieldsofarbitrarystrengthsinaxiallysymmetricconfigurations
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Review of Classical Analytical Results for the Motion of a Rydberg Electron around a Polar Molecule under Magnetic or Electric Fields of Arbitrary Strengths in Axially Symmetric Configurations

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