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Formula Heisenberg's Uncertainty Relation Location uncertainty    Pulse uncertainty    Planck's Constant

Formula: Heisenberg's Uncertainty Relation
Single Slit - Right Triangle for Momentum of an Electron
Single Slit - Right Triangle for Slit Width and Wavelength

Location uncertainty

The position \(x\) of a particle is in the range between \(x-\Delta x\) and \(x+\Delta x\) because of the measurement uncertainty.

Pulse uncertainty

According to the uncertainty relation, the momentum \(p\) of the particle must have at least the deviation \(\Delta p\) which is given in principle by \(\Delta x\) and the Planck's constant \(h\). The momentum of the particle lies in the interval between \(p-\Delta p\) and \(p+\Delta p\) and this interval cannot be decreased.

Planck's Constant

Planck's is a physical constant (of quantum mechanics) and has the value: \( h ~=~ 6.626 \cdot 10^{-34} \, \text{Js} \).