TL;DR
This paper explains the representation theory of SU(2) and applies it to the mathematics of quantum spin systems, extending from single particles to many-particle systems.
Contribution
It derives SU(2) representation theory from Lie group and algebra theory and applies it to quantum mechanics of spin systems, including many particles.
Findings
Representation theory of SU(2) derived from Lie groups and algebras
Quantum mechanics of spin 1/2 particles described using representation theory
Extension of spin representation framework to many-particle systems
Abstract
We derive the representation theory of from the expository theory of Lie groups and Lie algebras. Based on this, the mathematics of non-relativistic quantum mechanics of a spin particle are described from a representation-theoretic perspective, and are extended to many particle systems.
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Taxonomy
TopicsMolecular spectroscopy and chirality