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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Linear combination of states

**Physics Forums | Science Articles, Homework Help, Discussion**