Ah, yes, I see where I went wrong. And because I used the Pauli-spinmatrix for Sx, which apparently already is in the Sz/S2 representation, these vectors and eigenvectors are already in terms of the eigenstates of Sz?
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...
Hi, for my quantum mechanics course I'm confronted with the following question:
A spin 1/2 particle has the following eigenstates of Sz: |+> = (1 0) and |-> = (0 1). A magnetic field is pointing in the z direction, B = (0,0,B). The Hamiltonian is H = -B * n, with n =...