The following linear combination of states is considered in almost all quantum mechanics textbooks when they try to explain the addition of spin 1/2 and orbital angular momentum. The thing I don't understand is how the left hand side is equal to the right. Please, if you can, explain how.(adsbygoogle = window.adsbygoogle || []).push({});

|j,m + 1/2> = a|lm,+> + b|lm,-> where |+> is spin up and |-> is spin down.

Thanks,

Sam

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# Linear combination of states

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