Heisenberg uncertainty principle states that for two non-commuting operators, A and B,
σAσB≥21⟨[A,B]⟩ where
σA=⟨A2⟩−⟨A⟩2−standard deviation For momentum and position:
σpσx≥21[p,x]=2ℏ that means that we cannot measure momentum and position with an infinity precision simultaneously.
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