Heisenberg's uncertainty principle states that: if the x-component of the momentum of a particle is measured with an uncertainty $$\Delta \vec p_x$$ then its x-position cannot, at same time, be measured more accurately than $$\Delta\vec x=\frac {\hbar}{2\Delta\vec p_x }$$ $$\Delta\vec x\Delta\vec p_x \ge \frac {\hbar}{2}$$ what is scientific prove of this principle?
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