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What is the meaning of uncertainty principle in the case of hidden-variable theories?

I think you are asking what is the hidden-variable interpretation/description of unsharply defined observables when, in the standard interpretation of QM, these observables are incompatible and the ...
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What is the meaning of uncertainty principle in the case of hidden-variable theories?

The uncertainty principle has the exact same meaning with hidden-variable interpretations as with any other interpretation of QM. It says that in order to reproduce the predictions of QM, the ...
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Using the uncertainty principle to estimate energies in ground states

Building on the last equation in Semoi's answer: \begin{equation} \left\langle E \right\rangle = \frac{(\Delta p)^2}{2m} + \frac{m\omega^2 (\Delta x)^2}{2}, \tag{1} \end{equation} if you want to ...
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