SU(2) Group

SU(2) is a mathematical group that describes symmetries in quantum mechanics, specifically related to spin and angular momentum. It consists of 2x2 complex matrices that represent transformations preserving certain properties, such as length. In more familiar terms, think of it as a set of rules governing how particles can rotate and evolve in a multi-dimensional space. SU(2) is fundamental for understanding phenomena like electron spin and plays a crucial role in theories like the Standard Model of particle physics, which explains how fundamental forces interact.