DeltaXDeltaP Greater Than or Equal to h/4pi

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The discussion centers on the principle that the product of the uncertainties in position (Δx) and momentum (Δp) is always greater than or equal to h/4π, where h represents Planck's constant. This principle establishes that exact measurements of both position and momentum cannot be achieved simultaneously. The relationship is rooted in the properties of the Fourier transform, which mathematically describes this uncertainty principle.

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deltaXdeltaP is greater than or equal to h/4pi.
 
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It means that the product of the uncertainty in the measurable quantities position and momentum always exceeds that non-zero number.

Therefore, you cannot make fully exact measurements.

From a mathematical point of view, it is a property of the Fourier transform, if I'm not mistaken.
 

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