A beam of spinâ€1/2 particles is prepared in the state:    ï€20 2 20 4 ï¹ i a) What are the possible results of a measurement ofthe spin component Sz and with what probabilities would they occur?b) What are the possible results of a measurement of the spincomponent SX and with what probabilities would they occur? c)Suppose that the SZ measurement yields the result SZ = â€Ä§/2.Subsequent to that result a second measurement is performed tomeasure the spin component SX. What are the possible results ofthat measurement and with what probabilities would they occur? d)Draw a schematic diagram depicting the successive measurements asdescribed in part c. Use the Sternâ€Gerlach diagrams as drawn in thebook showing the possible numbers of events when measured.
