A spin 1/2 particle makes a transition from 2S (1 0) to 2p (1 1)orbital. The...

 

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A spin 1/2 particle makes a transition from 2S (1 0) to 2p (1 1)orbital. The particle has an angular momentum L and a sp The total angular momentum of the particle is given by J=L+S i. Show that S.L=L.S (2) ii. Evaluate in terms of S.L in terms of J2. L2 and S2 (4) ii. Calculate the splitting between the 2S and 3p states using first order perturbation. A spin 1/2 particle makes a transition from 2S (1 0) to 2p (1 1)orbital. The particle has an angular momentum L and a sp The total angular momentum of the particle is given by J=L+S i. Show that S.L=L.S (2) ii. Evaluate in terms of S.L in terms of J2. L2 and S2 (4) ii. Calculate the splitting between the 2S and 3p states using first order perturbation.