We assume that
We determine the eigenvalue frequency by inserting the above form for
into (S.5.30.8), which gives a quadratic equation for that has two
roots:
We have introduced the constants They are not all inde-
pendent. Inserting these forms into the original differential equations, we
obtain two relations which can be used to give
This completes the most generalsolution. Now we apply the initial con-
ditions that the spin was pointingalong the at This gives
which makes and which gives
These two conditions are sufficient to find
QUANTUM MECHANICS 277