Free Heisenberg Uncertainty Principle Visualizer

An interactive simulation demonstrating the inverse relationship between position uncertainty (Δx) and momentum uncertainty (Δp).

Position Probability Density (Δx)

Δx = 1.00

Momentum Probability Density (Δp)

Δp = 0.50

Simulation Controls

0.2 2.0

Note: Modifying Δx automatically adjusts Δp to satisfy the relation:
Δx · Δp ≥ ħ/2

Numerical Analysis

Constant (ħ/2) 0.500
Current Δx 1.00
Current Δp 0.50
Product (Δx·Δp) 0.50