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<math>\left(\Delta x \Delta p\geq\frac{\hbar}{2}\right)</math>.   

<math>\left(\Delta x \Delta p\geq\frac{\hbar}{2}\right)</math>.   

In English, this means that we can never measure both the position and momentum of a particle simultaneously with arbitrary [[precision]]. The more precisely we wish to measure one observable, the less precisely we can measure the other at that time.

This means that we can never measure both the position and momentum of a particle simultaneously with arbitrary [[precision]]. The more precisely we wish to measure one observable, the less precisely we can measure the other at that time.

Contrary to popular belief, this is ''not'' merely a measurement issue. While it is often stated that it is not possible to know the precise position and momentum of a particle at the same time, this is misleading; it implies that the particle has precisely defined position and momentum, but that information is unavailable to us. In fact, the Uncertainty Principle tells us that a particle cannot have precisely defined position and momentum simultaneously.

Contrary to popular belief, this is ''not'' merely a measurement issue. While it is often stated that it is not possible to know the precise position and momentum of a particle at the same time, this is misleading; it implies that the particle has precisely defined position and momentum, but that information is unavailable to us. In fact, the Uncertainty Principle tells us that a particle cannot have precisely defined position and momentum simultaneously.