I don't unterstand de function [itex]F(\hat{J})[/itex] where J is the operator(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\hat{J}=(\hat{J_1},\hat{J_2},\hat{J_3})[/tex]

and the components of J do not commute. In case when F a function of only one component we have the definition

[itex]F(\hat{J_1})|m>=F(m)|m>[/itex] where [itex]\hat{J_1}|m>=m|m>[/itex], but

how do you define the action action of [itex]F(\hat{J})[/itex] on a ket of the state space?

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# Question on function of operators

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