The Heisenberg Uncertainty Principle states that a state of system cannot be prepared in which both the position and momentum of a particle can be defined simultaneously to arbitrary accuracy.
$\Delta x \Delta p \ge \frac{\hbar}{2}$
Key Points:
- It is physically impossible to measure simultaneously the exact position and exact momentum of a particle.
- The inescapable uncertainties do not arise from imperfections in practical measuring instruments
- The uncertainties arise from the quantum structure of matter
