English

Spin and Representations

General Mathematics 2025-01-08 v1

Abstract

We derive the representation theory of SU(2)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 12\frac{1}{2} particle are described from a representation-theoretic perspective, and are extended to many particle systems.

Keywords

Cite

@article{arxiv.2501.03233,
  title  = {Spin and Representations},
  author = {Wonmyeong Cho},
  journal= {arXiv preprint arXiv:2501.03233},
  year   = {2025}
}

Comments

11 pages