Uncertainty Visualizer

Heisenberg Uncertainty Principle Demo

Heisenberg Uncertainty Principle

Position (Δx):

Momentum (Δp):

Uncertainty (Δx × Δp):

The product of the uncertainties in position (Δx) and momentum (Δp) is greater than or equal to the Planck constant (h) divided by 4π:

Δx × Δp ≥ h/4π

As you adjust the position and momentum values, you can see how the uncertainty changes. The minimum uncertainty is achieved when the product of the position and momentum uncertainties is equal to the Planck constant divided by 4π.