2.3 An electron is subject to a uniform, time-independent magnetic field of strength B in the positive z-direction. At t = 0 the electron is known to be in an eigenstate of S· în with eigenvalue ħ/2, where n is a unit vector, lying in the xz-plane, that makes an angle ẞ with the z-axis. a. Obtain the probability for finding the electron in the Sx of time. b. Find the expectation value of S as a function of time. = h/2 state as a function c. For your own peace of mind show that your answers make good sense in the extreme cases (i) ß → 0 and (ii) ß → π/2.

2.3 An electron is subject to a uniform, time-independent magnetic field of strength B in the positive z-direction. At t = 0 the electron is known to be in an eigenstate of S· în with eigenvalue ħ/2, where n is a unit vector, lying in the xz-plane, that makes an angle ẞ with the z-axis. a. Obtain the probability for finding the electron in the Sx of time. b. Find the expectation value of S as a function of time. = h/2 state as a function c. For your own peace of mind show that your answers make good sense in the extreme cases (i) ß → 0 and (ii) ß → π/2.