SET 1

1. Consider two particles with total spin J1=3/2 and J2=1. Write down all the possible states for the system of these two particles in terms of J1, J1z, J2, J2z. Write down all the possible states for the system of these two particles in terms the total angular momentum Jtot, Jtotz, J1, J2.

 

2. Find the rotation matrices that will rotate an object around the x,y,z axes.

 

3. Express the angular momentum operators as matrices that operate on states of spin 1 and spin 1/2.

 

4. Discuss one interesting point about spin, rotation, and/or operators.