Skip to content
ψ Miko-pedia
← Back to map
Quantum · undergrad

Commutator

The noncommutativity measure that organizes quantum observables.

· 1 min
View PDF PDF LaTeX

PDF View

Commutator

Open PDF

The PDF file is linked, but it has not been added yet.

/sources/commutator.pdf

Definition

For operators AA and BB,

[A,B]=ABBA.[A,B]=AB-BA.

Canonical Relation

Position and momentum satisfy

[x^,p^]=i.[\hat x,\hat p]=i\hbar.

This algebraic fact is the root of the uncertainty principle.

Related