Unformatted text preview: highest (M=1) are separated by an amount ∆ E 1,0 = ∆ E 0,1 = h . A second, rotating, magnetic field (with angular frequency ϖ ) is applied at t=0 and turned off at τ , leading to the perturbation W ( t ) = 1 [ J + exp(i t ) + Jexp( i t )] where J + and Jare the raising and lowering operators. At t=0, the system is in the M=0 state. a) (30 points) Determine at t= τ to first order (i) the state vector of the system and (ii) the probability that the system is in each of its three M states, as a function of ϖ . You must start with perturbation theory; do not use the formula for P fi given on the equation page. b) (10 points) Determine the secondorder contribution to the population of the M=1 state....
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 Spring '07
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 mechanics, Energy, Perturbation theory, three M, Dr. Herbst, finite spherical nucleus

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