i have been trying to learn a bit of quantum mechanics,this is some thing that has been bothering me ,(adsbygoogle = window.adsbygoogle || []).push({});

if the states of a system can be expressed as vectors in the Hilbert space,what is the motivation behind saying that physical observables can be given by operators?even then ,how can we say that the values they take are given by their eigenvalues?can this be proved somehow or reasoned out?

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# Observables and eigenvalues

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