- #1
spin_100
- 15
- 1
Spin 1/2 particles are two states system in C^2 and so it is natural for the rotations to be described by SU(2), for three states systems like spin - 1 particle, Why do we still use SU(2) and not SU(3) to describe the rotations? Is it possible to derive them without resorting to the eigenvalue conditions of J^2 and J_z, i.e. purely mathematically? I am able to derive this for the spin -1/2 case from the condition of Unitarity and det=1.