Commutation relations

Commutation relations are mathematical expressions that describe how two operations or measurements interact in quantum mechanics. Specifically, they indicate whether two observables, like position and momentum, can be measured simultaneously with precision. If two observables commute, measuring one does not affect the other. If they don't commute, there's a fundamental limit to the precision with which they can be known together, leading to uncertainty. This principle underlies many quantum phenomena and reflects the nature of particles at the smallest scales, where classical intuition often breaks down.