Heisenberg Uncertainty Principle Calculator
Minimum momentum/velocity uncertainty for a given position uncertainty, and minimum energy uncertainty for a given lifetime.
How to use the Heisenberg Uncertainty Principle Calculator
- Enter or select: Position uncertainty Δx, Mass m, Time uncertainty Δt.
- The results (Minimum Δp, Minimum Δv, Minimum ΔE, Minimum Δf) are calculated instantly as you type.
- Use “Copy link” to share the calculation with the same input values.
Formula
- Δx·Δp ≥ ħ/2
- ΔE·Δt ≥ ħ/2