Quantum Mechanics — Interactive Simulation
Δx · Δp ≥ ℏ/2
The more precisely the position of a particle is known,
the less precisely its momentum can be determined.
← position space
wave packet
momentum space →
Position uncertainty
Δx
0.50 nm
Momentum uncertainty
Δp
—
Position certainty
50%
Momentum certainty
50%
Δx · Δp =
ℏ/2 (minimal)
Position precision
↑ sharper, more localized
50
Particle energy
central momentum k₀
8
Time evolution
free propagation
0
Physical constants
| Planck constant (reduced) | ℏ = 1.0546 × 10⁻³⁴ J·s |
| Electron mass | mₑ = 9.109 × 10⁻³¹ kg |
| Minimum uncertainty product | Δx · Δp ≥ ℏ/2 |