A toy model for higher spin Dirac operators

被引：0
作者：
D. Eelbode
L. Van de Voorde
机构：
[1] Ghent University,
来源：
Physics of Atomic Nuclei | 2010年 / 73卷
关键词：
Atomic Nucleus; High Spin; Dirac Operator; Irreducible Module; Kernel Space;
D O I：
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学科分类号：
摘要：
This paper deals with the higher spin Dirac operator Q2,1 acting on functions taking values in an irreducible representation space for so(m) with highest weight \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ (\tfrac{5} {2},\tfrac{3} {2},\tfrac{1} {2},...,\tfrac{1} {2}) $$\end{document}. This operator acts as a toy model for generalizations of the classical Rarita—Schwinger equations in Clifford analysis. Polynomial null solutions for this operator are studied in particular.
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页码：282 / 287
页数：5
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