English

The ubiquitous XP commutator

Quantum Physics 2009-11-11 v1

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[X,P]=i\hbar. The article is complete and self contained, adequate for didactic use.

Keywords

Cite

@article{arxiv.quant-ph/0509171,
  title  = {The ubiquitous XP commutator},
  author = {A. C. de la Torre},
  journal= {arXiv preprint arXiv:quant-ph/0509171},
  year   = {2009}
}

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7 pages