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3. A particle with spin s=3/2 is bound by a central potential V(r) in a state with orbital angular momentum l=1; the vector addition of which yields total angular momenta of J=1/2, 3/2 and 5/2. Suppose that the state is perturbed by a Hamiltonian of the type = -2 .s that splits the level. Calculate the new excitation energies using first-order perturbation theory.

3. A particle with spin s=3/2 is bound by a central potential V(r) in a state with orbital angular momentum l=1; the vector addition of which yields total angular momenta of J=1/2, 3/2 and 5/2. Suppose that the state is perturbed by a Hamiltonian of the type = -2 .s that splits the level. Calculate the new excitation energies using first-order perturbation theory.

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3. A particle with spin s=3/2 is bound by a central potential V(r) in a state with orbital angular momentum l-1; the vector addition of which yields total angular momenta of J=1/2, 3/2 and 5/2. Suppose that the state is perturbed by a Hamiltonian of the type ¹ = -2 .s that splits the level. Calculate the new excitation energies using first-order perturbation theory.
Transcribed Image Text:3. A particle with spin s=3/2 is bound by a central potential V(r) in a state with orbital angular momentum l-1; the vector addition of which yields total angular momenta of J=1/2, 3/2 and 5/2. Suppose that the state is perturbed by a Hamiltonian of the type ¹ = -2 .s that splits the level. Calculate the new excitation energies using first-order perturbation theory.
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