Q5) Consider a particle with spin 1. Write the eigenvalue equation as with s = 1. Sz|s, ms) = hms|s, ms) a) What are the possible values of the spin magnetic quantum number ms? b) Find the matrix representation of Ŝ c) Find the matrix representation of Ŝ + in |s, m¸) basis. and Ŝ_ in |s, m¸) basis. d) Use (b) and (c) to write the Sx and Sy matrices. e) Find the eigenvectors of Sx. f) Suppose that a particle with spin 1 is in the state given by 1 IBY = √14 3. What is the probability that a measurement of Sx in this state finds the value of -ħ?