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arXiv · 2501.03233

Spin and Representations

Wonmyeong Cho
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Abstract

We derive the representation theory of $SU(2)$ from the expository theory of Lie groups and Lie algebras. Based on this, the mathematics of non-relativistic quantum mechanics of a spin $\frac{1}{2}$ particle are described from a representation-theoretic perspective, and are extended to many particle systems.

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Wonmyeong Cho. 2024-12-06. Spin and Representations. https://arxiv.org/abs/2501.03233

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