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Canonical commutation relation

In quantum mechanics, the canonical commutation relation is the fundamental relation between canonical conjugate quantities (quantities which are related by definition such that one is the Fourier transform of another). For example, [ x ^ , p ^ x ] = i ℏ I {\displaystyle [{\hat {x}},{\hat {p}}_{x}]=i\hbar \mathbb {I} }

Gauge invariance, Relation to classical mechanics & Weyl relations