Heisenberg Uncertainty Calculator
Compute the uncertainty product Δx·Δp ≥ ħ/2.
Input Data
Position Uncertainty
m
Results
Momentum uncertainty Δp ≥ ħ/(2Δx).
0kg·m/s
At a glance:Δx·Δp ≥ ħ/2 (ħ = h/2π). Complements de-broglie-wavelength and planck-constant.
Formula
Δx·Δp ≥ ħ/2.
$$\Delta x \cdot \Delta p \ge \dfrac{\hbar}{2},\quad \Delta p_{\min} = \dfrac{\hbar}{2\,\Delta x}$$How to Use
- Enter Δx (or Δp).
- The tool returns the other uncertainty.
Case Studies
Δx=1e-10
Δp ≥ 5.27e-25 kg·m/s.
FAQ
What is ħ?
Reduced Planck constant ≈ 1.055e-34 J·s.
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References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.