How Are Multiplets in Group Theory Related to Spin States in Quantum Mechanics?

[valleyman]

hello, does anyone know what relationship exists, if exists, between the concept of multiplets in group theory and the multiplet as spin state of a system of particles?
Thanks,
valleyman

 

[strangerep]

hello, does anyone know what relationship exists, if exists, between the concept of multiplets in group theory and the multiplet as spin state of a system of particles?

Absolutely. A large amount of quantum theory, classification of
elementary particles, and properties of composite systems is now well
understood by studying group representations. To see how this works
in detail for angular momentum, try Ballentine ch7.

 

[tom.stoer]

spin in non-rel. qm is just a physical property of the SU(2) group