Consider a spin 1/2 particle placed in a magnetic field Be with components: B = -Во V2 B, = 0 1 B. =B 12 The notation is the same as that of exercise (1). a. Calculate the matrix representing, in the {I+),1->} basis, the operator H, the Hamiltonian of the system. b. Calculate the eigenvalues and the eigenvectors of H. c. The system at time t = 0 is in the state -). What values can be found if the energy is measured, and with what probabilities? d. Calculate the state vector (0)) at time t. At this instant, S, is measured; what is the mean value of the results that can be obtained? Give a geometrical interpre- tation.