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Curated by: For the Love of Physics (233 videos)
The Heisenberg Uncertainty Relation in quantum mechanics arises naturally from the Fourier transform of a wavepacket. A localized particle in position space corresponds to a broad spread of momenta in momentum space due to the wave nature of particles. This inverse relationship between the standard deviations of position and momentum—rooted in the mathematics of Fourier transforms—leads to the uncertainty principle: Δx·Δp ≥ ħ⁄2.