Zeeman effect as a prototype for intra-atomic interactions |
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| Affiliation: | 1. Prokhorov General Physics Institute of the Russian Academy of Sciences, Vavilov Str. 38, 119991 Moscow, Russian Federation;2. Department of Chemistry, M.V. Lomonosov Moscow State University, Leninskie Gory 1-3, 119991 Moscow, Russian Federation;3. A. V. Topchiev Institute of Petrochemical Synthesis of the Russian Academy of Sciences, Leninsky Avenue 29, 119991 Moscow, Russian Federation;4. Soil Science Faculty, M.V. Lomonosov Moscow State University, Leninskie Gory 1-12, 119991 Moscow, Russian Federation;5. Federal Scientific Agronomic and Engineering Center VIM, 1st Institutsky proezd, 5, 109428 Moscow, Russian Federation;6. Charité – Universitätsmedizin Berlin, Corporate Member of Freie Universität Berlin and Humboldt-Universität zu Berlin, Department of Dermatology, Venerology and Allergology, Center of Experimental and Applied Cutaneous Physiology, Charitéplatz 1, 10117 Berlin, Germany;1. Faculty of Science and Engineering, Toyo University, 2100 Kujirai, Kawagoe, Saitama 350-8585, Japan;2. Matsumoto Precision Co. Ltd, 3-2-17 Kagiyama, Iruma, Saitama 350, Japan;1. LSQM- Laboratório de Síntese Química de Materiais, DEMat, Universidade Federal do Rio Grande do Norte - UFRN, P.O. Box 1524, 59078-970 Natal, RN, Brazil;2. Departament de Química Física i Analítica, Universitat Jaume I, 12071 Castelló de la Plana, Spain;3. Department of Physical Chemistry, University of Valencia, 46100 Burjassot, Spain;4. CDMF-UFSCar, Universidade Federal de São Carlos, P.O. Box 676, 13565-905 São Carlos, SP, Brazil |
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| Abstract: | The existence of the familiar product gMJ that occurs in an analysis of the Zeeman effect can be regarded as an example of the Wigner-Eckart theorem for the rotation group R3. Correspondence is made with the treatment of intra-atomic interactions by means of higher groups, such as R5 for d electrons. The spin-spin and spin-other-orbit interactions are examined in detail, and an outline is made of the decomposition of the scalar three-particle operators that are required to partially represent the effect on the configuration (nl)N of excited configurations of the type (nl)N±1 (nl)∓1. |
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