In quantum mechanics (physics), the canonical commutation relation is the relation between canonical conjugate quantities (quantities which are related by definition such that one is the Fourier transform of another), for example:
between the position x and momentum px in the x direction of a point particle in one dimension, where is the commutator of x and px, i is the imaginary unit, and ħ is the reduced Planck's constant h /2π . This relation is attributed to Max Born, and it was noted by E. Kennard (1927) to imply the Heisenberg uncertainty principle.
Read more about Canonical Commutation Relation: Relation To Classical Mechanics, Representations, Generalizations, Gauge Invariance, Angular Momentum Operators
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