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Question: [tex]\hat{A} [/tex] is an Hermitian Operator. If [tex]\hat{A}^{2}=2[/tex], find the eigenvalues of [tex]\hat{A}[/tex]

So We have:

[tex] \hat{A}\left|\Psi\right\rangle=a\left|\Psi\right\rangle [/tex]

But I actually don't know how to even begin. [tex]\hat{A}[/tex] is a general Hermitian operator, and I don't know where even [tex]\hat{A}^{2}[/tex] would fit in with the question asked.

Any help is appreciated! Thank you!

-Rick

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# Eigenvalues of Hermitian operators

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