2. A spin-1/2 is initially in the state [v(t = 0)) = time dependent magnetic field (0) The spin is then subjected to a a

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2 A Spin 1 2 Is Initially In The State V T 0 Time Dependent Magnetic Field 0 The Spin Is Then Subjected To A A 1 (38.88 KiB) Viewed 56 times

2. A spin-1/2 is initially in the state [v(t = 0)) = time dependent magnetic field (0) The spin is then subjected to a a H(t) = -S. B(t) where B(t) = (B cos(wt), -B sin(wt), Bo). = (a) Using time-dependent perturbation theory, find y(t)) to first order in B. (b) Let p-(t) be the probability of measuring S -h/2 at time t. Find p-(t) to second order in B. = (c) Compare your perturbative result with the exact expression for p-(t), known as Rabi's formula: 72B2 p_(t) = sin? W, = 72B2 + (w - wo2 (6) تنها where wo = = γB).