Quantum Physics and the Heisenberg Uncertainty Principle

In quantum physics, you encounter the Heisenberg uncertainty principle, which says that the better you know the position of a particle, the less you know the momentum, and vice versa. In the x direction, for example, that looks like this:

where Dx is the measurement uncertainty in the particle’s x position, Dp_x is its measurement uncertainty in its momentum in the x direction, and

This relation holds for all three dimensions: