{"title":"On Invariant Vectors in the Presence of Electric and Magnetic Fields","authors":"J. Pain","doi":"10.3390/atoms11070105","DOIUrl":null,"url":null,"abstract":"In this non-exhaustive review, we discuss the importance of invariant vectors in atomic physics, such as the Laplace–Runge–Lenz vector, the Redmond vector in the presence of an electric field, the Landau–Avron–Sivardièrevector when the system is subject to a magnetic field, and the supergeneralized Runge–Lenz vector for the two-center problem. The application to the Stark and Zeeman effects are outlined. The existence of constants of motion in the charge-dyon system is also briefly mentioned.","PeriodicalId":8629,"journal":{"name":"Atoms","volume":" ","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Atoms","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3390/atoms11070105","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, ATOMIC, MOLECULAR & CHEMICAL","Score":null,"Total":0}
引用次数: 0
Abstract
In this non-exhaustive review, we discuss the importance of invariant vectors in atomic physics, such as the Laplace–Runge–Lenz vector, the Redmond vector in the presence of an electric field, the Landau–Avron–Sivardièrevector when the system is subject to a magnetic field, and the supergeneralized Runge–Lenz vector for the two-center problem. The application to the Stark and Zeeman effects are outlined. The existence of constants of motion in the charge-dyon system is also briefly mentioned.
AtomsPhysics and Astronomy-Nuclear and High Energy Physics
CiteScore
2.70
自引率
22.20%
发文量
128
审稿时长
8 weeks
期刊介绍：
Atoms (ISSN 2218-2004) is an international and cross-disciplinary scholarly journal of scientific studies related to all aspects of the atom. It publishes reviews, regular research papers, and communications; there is no restriction on the length of the papers. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. Full experimental and/or methodical details must be provided for research articles. There are, in addition, unique features of this journal: -manuscripts regarding research proposals and research ideas will be particularly welcomed. -computed data, program listings, and files regarding the full details of the experimental procedure, if unable to be published in a normal way, can be deposited as supplementary material. Scopes: -experimental and theoretical atomic, molecular, and nuclear physics, chemical physics -the study of atoms, molecules, nuclei and their interactions and constituents (protons, neutrons, and electrons) -quantum theory, applications and foundations -microparticles, clusters -exotic systems (muons, quarks, anti-matter) -atomic, molecular, and nuclear spectroscopy and collisions -nuclear energy (fusion and fission), radioactive decay -nuclear magnetic resonance (NMR) and electron spin resonance (ESR), hyperfine interactions -orbitals, valence and bonding behavior -atomic and molecular properties (energy levels, radiative properties, magnetic moments, collisional data) and photon interactions
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