The ubiquitous XP commutator
Abstract
Position and momentum of a particle can take any value in a continuous spectrum; these values are independent but their indeterminacies are correlated; momentum and position are mutually the generators of the transformations in each other. It is shown in a concise way, how all these features arise solely from their commutation relation [X,P]=i. The article is complete and self contained, adequate for didactic use.
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