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How does the operator of angular momentum operates in exponential form?

$$ e^{-i\theta J}\vert l, m \rangle = ?? $$

where $$J\vert \Psi \rangle = J\vert l, m \rangle$$

and

$$J^2\vert \Psi\rangle = \hbar^2 l(l+1)\vert \Psi\rangle $$

Also, how do you operate $$J_-$$

and $$J_+$$

in exponential form?

Thanks,

Jorge.

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# Operators in exponential form

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