Source: wikibot/commutator-subspace
= Commutator subspace
{wiki=Commutator_subspace}
In the context of quantum mechanics and linear algebra, a **commutator subspace** typically refers to the space spanned by the commutators of operators in a given algebra. In quantum mechanics, observables are represented by operators, and the commutator of two operators \\( A \\) and \\( B \\) is defined as: \\\[ \[A, B\] = AB - BA. \\\] This commutator measures the extent to which the two operators fail to commute.