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If the spin operators for spin $1/2$ can be represented in matrix form using the Pauli Matrices, e.g $S_x = \frac{1}{2}\hbar \sigma_x = \frac{1}{2}\hbar \begin{bmatrix}0&1\\1&0\end{bmatrix}$, What is the physical meaning of the components of a spinor in this matrix representation?

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    $\begingroup$ related/possible duplicate: physics.stackexchange.com/q/144294/50583 It might help if you expanded a bit on what sort of "meaning" you're looking for here $\endgroup$
    – ACuriousMind ♦
    Commented May 3, 2021 at 15:29
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    $\begingroup$ The eigenvectors of $S_x$ are treated differently by a magnetic field in the x direction in the Zeeman effect. One has a higher energy than the other, so corresponding energy levels are split. Is this the sort of thing that intrigues you? $\endgroup$
    – Cosmas Zachos
    Commented May 3, 2021 at 15:32

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