2. Spin 3/2 Let us assume that a particle has spin S = 3/2. (a) What is the dimension of the relevant Hilbert space? (b) Use the eigen states of S, as your basis vectors and write down the matrices for S, S, and Ŝ.. (c) Find the expectation value of S, with respect to the eigen state of S, which corresponds to the eigen value S =-1/2.

2. Spin 3/2 Let us assume that a particle has spin S = 3/2. (a) What is the dimension of the relevant Hilbert space? (b) Use the eigen states of S, as your basis vectors and write down the matrices for S, S, and Ŝ.. (c) Find the expectation value of S, with respect to the eigen state of S, which corresponds to the eigen value S =-1/2.