Adifferent electron is placed in a region of uniform magnetic field b_0 in the z-direction. this electron is initially known to be in the state 1/2(squareroot 3 1). show that this state is an eigenstate of the operator 1/2 s_z + squareroot 3/2 s_x and determine its eigenvalue. show your work. calculate the expectation value of the x-component, y-component, and z-component of spin as a function of time. show your work. give a physical interpretation for the time dependence of the expectation values you identified in the previous question. consider the statements given below. student 1: "stationary states do not depend on time. the state we were given is not a stationary state, so it does depend on time." student 2: "i agree. once we know that the state depends on time, we know that all probabilities must also depend on time." both students are incorrect. use an example to identify the flaws in each student's reasoning.