Reduction Formulae for Symmetric Products of Spin Matrices

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• 作者：Palash B. Pal ^{pbpal@theory.saha.ernet.in" class="auth_mail" title="E-mail the corresponding author}
• 关键词：SU(2) representations ; spin ; electromagnetic interactions
• 刊名：Reports on Mathematical Physics
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：77
• 期：1
• 页码：35-43
• 全文大小：102 K

文摘

We show that, for SU(2) generators of arbitrary dimension D there exist identities that express the completely symmetric product of D matrices in terms of completely symmetric products of fewer number of matrices. We also indicate why such identities are important in characterizing electromagnetic interactions of particles.