Waves and mathematical physics

Uncertainty principle

A quantum-mechanical bound on the product of standard deviations of conjugate observables such as position and momentum.

Common notation ΔxΔp≥ℏ/2

In one sentence

What does Uncertainty principle mean?

A quantum-mechanical bound on the product of standard deviations of conjugate observables such as position and momentum.

How it is written

ΔxΔp≥ℏ/2

A compact example

Reducing position uncertainty constrains momentum uncertainty from becoming arbitrarily small at the same time.

Other names and search terms

Heisenberg uncertainty principle.

Clear answers

Questions about Uncertainty principle

What does Uncertainty principle mean in mathematics?

A quantum-mechanical bound on the product of standard deviations of conjugate observables such as position and momentum.

How is Uncertainty principle written?

A common notation is ΔxΔp≥ℏ/2.

What is an example of Uncertainty principle?

Reducing position uncertainty constrains momentum uncertainty from becoming arbitrarily small at the same time.