1. McIntyre 7.7 (modified) An angular momentum system is prepared in the state: 1)=√11) -110)+122) +120). (a) What are the possible results of a measurement of the angular momentum observ- able L2, and with what probabilities would they occur? (b) What are the possible results of a measurement of the angular momentum compo- nent L, and with what probabilities would they occur? (c) Now suppose we have a beam of particles in the given state. We set up a Stern- Gerlach-like experiment that bends the particles up or down depending on the projection of their momentum in the z-direction. After the apparatus, there is a beam of particles that is not deflected. What is the state of those particles?