In this session we compute the expectation value of the Spin of a spin-1/2 particle (like a silver atom) in a totally general direction. It's a good exercise to make sure you really understand Spin, the Pauli matrices and all this BraKet vector stuff for sure.
The problems can be found here (scroll to the bottom).
https://pasayten.org/quantum-mechanic...
The course itself has a website here:
https://pasayten.org/quantum-mechanic...