The spin operator, $\hat{\mathbf{S}}=\begin{pmatrix}\hat{S}_x\\ \hat{S}_y\\ \hat{S}_z \end{pmatrix}$ is an [angular momentum operator](Angular%20momentum%20operators) (and hence an [observable](Observable.md)) that corresponds with a measurement of [spin.](Spin.md) ^e81c12 # Components of the spin operator # $x$-component # $y$-component # $z$-component --- # Proofs and examples ## Extracting spin projection operators from their known eigenvalues %%This is an example inspired from problem 1 homework 3 of Schollwock's qm class. the text here should then be quoted in the page for projections in qm since it's a very basic example that helps us understand projection operators in qm.%% #QuantumMechanics/QuantumMeasurement/QuantumObservables #QuantumMechanics/StationaryStateQuantumSystems/QuantizedAngularMomentum