0
$\begingroup$

I'm trying Tripos question

Usually for these types of questions, I'm used to the field being in a specific direction. For example, if the field was in the z direction, I could find this solution by checking

|< Sz, Q >|^2 where Q is the state vector at time t.

Does anyone know how to begin the approach to this case where the field isn't in some specific direction?

$\endgroup$
0
$\begingroup$

Hint: Calculate $\textbf{n} \cdot \textbf{S}$, then use your result to find the eigenspinors and their associated eigenvalues of your Hamiltonian. Remember that $x = r\sin\theta\cos\phi$, $y = r\sin\theta\sin\phi$, and $z = \cos\theta$. Then you can write down the general state $|{\chi(t)}\rangle$, and solve the TDSE. Can you take it from here?

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.