Use the standard commutation relations for angular momentum operators to show that L and S remain good
Question:
Use the standard commutation relations for angular momentum operators to show that L and S remain good quantum numbers if the spin-dependent forces arise from a simple spin–orbit interaction, that is if
H = H0 + αL̂ · Ŝ,
Where
[H0, L̂] = [H0, Ŝ] = 0
and α is a constant.
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