assignment Homework
eigenvectors
Quantum Fundamentals 2023
The operator \(\hat{S}_x\) for spin-1 may be written as:
defined by:
\[\hat{S}_x=\frac{\hbar}{\sqrt{2}}
\begin{pmatrix}
0&1&0\\ 1&0&1 \\ 0&1&0 \\
\end{pmatrix}
\]
- Find the eigenvalues and eigenvectors of this matrix. Write the eigenvectors as both matrices and kets.
- Confirm that the eigenstates you found give probabilities that match your expectation from the Spins simulation for spin-1 particles.