Responsible party: Esquire, David Hilbert's Hat

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<math>\sigma_{A}^2\sigma_B^2\geq|\frac{[\hat{A},\hat{B}]}{2i}|^2</math>

1-Dimensional Example: Let <math>\hat{A}=\hat{x}=x</math> and <math>\hat{B}=\hat{p}=-i\hbar(\frac{\partial}{\partial x})</math>

<math>[\hat{x},\hat{p}]=i\hbar </math> ⇒ <math>\sigma_{x}^2\sigma_p^2\geq|\frac{i\hbar}{2i}|^2=(\frac{\hbar}{2})^2</math> ⇒ <math>\sigma_{x}\sigma_p\geq\frac{\hbar}{2}</math>

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