An electron is at rest in an oscillating magnetic fieldwhere Bo and  are constants.(a) Con...

An electron is at rest in an oscillating magnetic field

where Bo and  are constants.

(a) Construct the Hamiltonian matrix for this system.

(b) The electron starts out (at t = 0) in the spin-up state with respect to the x-axis (that is:  (0) = . Determine  (t) at any subsequent time. Beware: This is a time-dependent Hamiltonian, so you cannot get x(0 in the usual way from stationary states. Fortunately, in this case you can solve the time- dependent Schrodinger equation (Equation 4.162) directly.

(c) Find the probability of getting —/2, if you measure Sx. Answer:

(d) What is the minimum field (Bo) required to force a complete flip in Sx?