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A spin ½ particle makes a transition from 2s (1 = 0) to 3p (l= 1) orbital. The particle has an angular momentum I and a spin S. The total angular momentum of the particle is given

A spin ½ particle makes a transition from 2s (1 = 0) to 3p (l= 1) orbital. The particle has an angular momentum I and a spin S. The total angular momentum of the particle is given

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Ass Q3: Quantum Mechanics Question 3 please
Question 3 A spin 1½ particle makes a transition from 2s (1 = 0) to 3p (1 = 1) orbital. The particle has an angular momentum I and a spin S. The total angular momentum of the particle is given by J = L + S (i) Show that S.L = L.Š (ii) Evaluate S. L in terms of J², L² and S² (iii) Calculate the splitting between the 2s and 3p states using first order perturbation.
Transcribed Image Text:Question 3 A spin 1½ particle makes a transition from 2s (1 = 0) to 3p (1 = 1) orbital. The particle has an angular momentum I and a spin S. The total angular momentum of the particle is given by J = L + S (i) Show that S.L = L.Š (ii) Evaluate S. L in terms of J², L² and S² (iii) Calculate the splitting between the 2s and 3p states using first order perturbation.
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