• Hamilton’s theory of turns revisited

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/074/01/0001-0010

• # Keywords

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

• # Abstract

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.

• # Author Affiliations

1. Centre for High Energy Physics, Indian Institute of Science, Bangalore 560 012, India
3. The Institute of Mathematical Sciences, C.I.T. Campus, Chennai 600 113, India

• # Pramana – Journal of Physics

Volume 96, 2022
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Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019