Heisenberg Uncertainty Relation for Three Canonical Observables

  title={Heisenberg Uncertainty Relation for Three Canonical Observables},
  author={Spiros Kechrimparis and Stefan Weigert},
  journal={Physical Review A},
Uncertainty relations provide fundamental limits on what can be said about the properties of quantum systems. For a quantum particle, the commutation relation of position and momentum observables entails Heisenberg's uncertainty relation. A third observable is presented which satisfies canonical commutation relations with both position and momentum. The resulting triple of pairwise canonical observables gives rise to a Heisenberg-type uncertainty relation for the product of three standard… 

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