Modern & Quantum Physics
Advanced

Uncertainty Principle

Limit on knowing position and momentum together.

Formula

ΔxΔp2\Delta x\,\Delta p \geq \frac{\hbar}{2}

Variables

\Delta xPosition uncertainty
\Delta pMomentum uncertainty

Did You Know?

Heisenberg's uncertainty principle forbids knowing a particle's exact position and momentum at once — a law of nature, not a measurement flaw.