Hamilton’s theory of turns revisited

Pramana

N Mukunda1²  S Chaturvedi2³  R Simon3¹ 

[1] The Institute of Mathematical Sciences, C.I.T. Campus, Chennai 600 113, India$$;Centre for High Energy Physics, Indian Institute of Science, Bangalore 560 012, India$$;School of Physics, University of Hyderabad, Hyderabad 500 046, India$$

关键词: Turns;    groups 𝑆𝑂(3) and 𝑆𝑈(2);    composition law for turns;    rotations;    reflections;    binary rotations.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We present a new approach to Hamilton’s theory of turns for the groups 𝑆𝑂(3) and 𝑆𝑈(2) which renders their properties, in particular their composition law, nearly trivial and immediately evident upon inspection. We show that the entire construction can be based on binary rotations rather than mirror reflections.

【 授权许可】

Unknown