B = B_rf cos(wt)i - B_rf sin(wt)j + B_0

1. a) Construct the 2x2 Hamiltonian matrix with H = -B*S (Eq. 4.158 of the textbook), where S is the spin operator.
2. b) If x(t) = bt, a = e^(iwt)a - wgab = e^(-iwt)a - wgb
3. where B_rf is related to the strength of the rf field.
4. P(t) = 2sin^2(wt) / (w - w_0)^2 + 2

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