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This is purely a question of notation for the Pauli matrices. What is the correct way to write them for use as operators? Would I just write the vector of the matrices as a vector i.e $$\vec{\sigma}\,,$$ or just as an operator, i.e. $$\hat{\sigma}\,,$$ or as both, i.e. $$\vec{\hat{\sigma}}$$

I've seen different ways of writing them in the literature I'm studying and just wanted to know if there was a "proper" way to write it or if it made no difference

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closed as primarily opinion-based by AccidentalFourierTransform, stafusa, Qmechanic Oct 2 '17 at 9:03

Many good questions generate some degree of opinion based on expert experience, but answers to this question will tend to be almost entirely based on opinions, rather than facts, references, or specific expertise. If this question can be reworded to fit the rules in the help center, please edit the question.

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To avoid having both hats and arrows on top of vector-valued operators, one often indicates the 3-vector using boldface, e.g. $$\hat{\vec{A}}~=~\hat{\bf A}, $$ and so forth.

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  • $\begingroup$ Ah okay yeah that makes sense, it's slightly annoying since in the report I've been writing, it's been mostly classical mechanics so I used arrows for vectors so far but this is certainly a better notation $\endgroup$ – bigbadpiano Mar 17 '16 at 15:43

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