basic

Heisenberg Uncertainty Calculator

Minimum Δp from Δx via Δx · Δp ≥ ℏ / 2.

Compute the minimum uncertainty in momentum (Δp) and velocity (Δv) of a particle of given mass when its position is constrained to within Δx, using Heisenberg's uncertainty principle Δx · Δp ≥ ℏ / 2.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

m
kg

Results

Enter values and click Calculate to see results.
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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 ≥ ℏ / (2 · Δx); Δv = Δp / m.

In depth

Compute the minimum uncertainty in momentum (Δp) and velocity (Δv) of a particle of given mass when its position is constrained to within Δx, using Heisenberg's uncertainty principle Δx · Δp ≥ ℏ / 2.