==> Due on Tuesday 12/12 (at final exam) <==
(1) Sakurai Problem 3.12.
(2) Sakurai Problem 3.22*.
* Note that d(j=1)(β) in part (c) is just jargon for `matrix representation of the rotation operator about y-axis for angle β'.
(d). Now let's return to Problem 1 (Sakurai 3.12). We consider the special case of spin 1 with an initial eigenstate |j=1,m=1>. Obtain an exact expression for the probability for the new rotated state to be found in the original state, i.e., an expression valid for any angle. Is this consistent with your previous (approximate) result?
(3) Sakurai Problem 3.20.