basic

Heisenberg Uncertainty Δx·Δp ≥ ℏ/2 Calculator

ΔxΔp ≥ ℏ/2 — minimum uncertainty in position and momentum.

Calculates the minimum uncertainty in momentum (or position) given the uncertainty in position (or momentum) using Heisenberg's uncertainty principle.

Marcus Laurent By Marcus Laurent
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
Was this helpful?

How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

Δp_min = ℏ/(2Δx); ΔE_min = ℏ/(2Δt); ℏ = 1.0546×10⁻³⁴ J·s

In depth

Calculates the minimum uncertainty in momentum (or position) given the uncertainty in position (or momentum) using Heisenberg's uncertainty principle.