Minimum Uncertainty Calculator

Calculate quantum uncertainty principles using Heisenberg's uncertainty relation

Heisenberg's Uncertainty Principle
Δx · Δp ≥ ℏ/2
The product of position and momentum uncertainties cannot be smaller than half the reduced Planck constant

Uncertainty Analysis

ΔxΔp
Uncertainty Product
-
ℏ/2
Minimum Limit
5.27286×10⁻³⁵ J·s
Quantum State Analysis
Enter values to analyze quantum state

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