Analytical Results for Classical Axially Symmetric States of Relativistic Hydrogenic Ions in Collinear Electric and Magnetic Fields of Arbitrary Strengths

We consider classical axially symmetric states of relativistic hydrogenic ions under collinear electric and magnetic fields of arbitrary strengths. For such Rydberg states, we study the role of relativistic effects. Our analytical results demonstrate that the primary outcome of the allowance for the...

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Main Authors: N. Kryukov, E. Oks
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/8/1515
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author N. Kryukov
E. Oks
author_facet N. Kryukov
E. Oks
author_sort N. Kryukov
collection DOAJ
description We consider classical axially symmetric states of relativistic hydrogenic ions under collinear electric and magnetic fields of arbitrary strengths. For such Rydberg states, we study the role of relativistic effects. Our analytical results demonstrate that the primary outcome of the allowance for the relativism is an increase in the critical value of the electric field at which the ionization occurs.
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spelling doaj.art-aac9944936214c48963f918aa127e2d72023-11-30T22:32:50ZengMDPI AGSymmetry2073-89942022-07-01148151510.3390/sym14081515Analytical Results for Classical Axially Symmetric States of Relativistic Hydrogenic Ions in Collinear Electric and Magnetic Fields of Arbitrary StrengthsN. Kryukov0E. Oks1Universidad Nacional Autónoma de México, Av. Universidad 3000, col. Ciudad Universitaria, del. Coyoacán 04510, MexicoPhysics Department, Auburn University, Auburn, AL 36849, USAWe consider classical axially symmetric states of relativistic hydrogenic ions under collinear electric and magnetic fields of arbitrary strengths. For such Rydberg states, we study the role of relativistic effects. Our analytical results demonstrate that the primary outcome of the allowance for the relativism is an increase in the critical value of the electric field at which the ionization occurs.https://www.mdpi.com/2073-8994/14/8/1515axially symmetric statesRydberg stateshydrogenic ionselectric and magnetic fieldsrelativistic effects
spellingShingle N. Kryukov
E. Oks
Analytical Results for Classical Axially Symmetric States of Relativistic Hydrogenic Ions in Collinear Electric and Magnetic Fields of Arbitrary Strengths
Symmetry
axially symmetric states
Rydberg states
hydrogenic ions
electric and magnetic fields
relativistic effects
title Analytical Results for Classical Axially Symmetric States of Relativistic Hydrogenic Ions in Collinear Electric and Magnetic Fields of Arbitrary Strengths
title_full Analytical Results for Classical Axially Symmetric States of Relativistic Hydrogenic Ions in Collinear Electric and Magnetic Fields of Arbitrary Strengths
title_fullStr Analytical Results for Classical Axially Symmetric States of Relativistic Hydrogenic Ions in Collinear Electric and Magnetic Fields of Arbitrary Strengths
title_full_unstemmed Analytical Results for Classical Axially Symmetric States of Relativistic Hydrogenic Ions in Collinear Electric and Magnetic Fields of Arbitrary Strengths
title_short Analytical Results for Classical Axially Symmetric States of Relativistic Hydrogenic Ions in Collinear Electric and Magnetic Fields of Arbitrary Strengths
title_sort analytical results for classical axially symmetric states of relativistic hydrogenic ions in collinear electric and magnetic fields of arbitrary strengths
topic axially symmetric states
Rydberg states
hydrogenic ions
electric and magnetic fields
relativistic effects
url https://www.mdpi.com/2073-8994/14/8/1515
work_keys_str_mv AT nkryukov analyticalresultsforclassicalaxiallysymmetricstatesofrelativistichydrogenicionsincollinearelectricandmagneticfieldsofarbitrarystrengths
AT eoks analyticalresultsforclassicalaxiallysymmetricstatesofrelativistichydrogenicionsincollinearelectricandmagneticfieldsofarbitrarystrengths