View Single Post
ulcrid
#3
Sep2-10, 02:02 AM
P: 3
Well, the magnitude of the vectors seems to be 1. After all, |(1 0)|2 is 1. So that would be okay?

For the second question I used the Pauli-spinmatrix of Sx:
h   (0 1)
4pi (1 0)
Then, I can use det(Sx-lambda*I) = 0 to get lambda2-1 = 0 so lambda is either 1 or -1.
Using that in the eigenvalue equation I get Sx*v = +/- v
Which gets me to
h   (0 1)(a) = +/- (a)
4pi (1 0)(b)       (b)
Which is equal to
h   (b) = +/- (a)
4pi (a)       (b)
Which in my view is only solvable for a = b = 0. ?