Recent content by mtd

Aha, got it (P = 0.5). Must remember to normalise eigenkets. Thanks!

Strange, the system state should be displayed like this: edit: Okay, I think I understand why the system state should be \begin{pmatrix} 1 \\ 0 \end{pmatrix}, i.e. z = 0 - by using the S_{z} operator on the given eigenstate you can see the z has to be zero. Using this information I find...

I used the Pauli matrices to get my solution for the first question. For the second question I found the eigenvector for S_{x} to be (1,1) and the probability of measuring \hbar /2 to be (z+0.5)^{2}. However, if the eigenstate of the system is normalised and z = \sqrt{3/4} then I must be...

Homework Statement A spin-1/2 system in the state \left|ψ\right\rangle = \left|0.5, z\right\rangle of the S_{z} spin operator has eigenvalue s = +\hbar/2. Find the expectation values of the S_{z} and S_{x} operators. Homework Equations \left\langle S_{x,z}\right\rangle = \left\langle ψ...