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

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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