from Wiktionary, Creative Commons Attribution/Share-Alike License

  • adj. Not commuting.


from Wiktionary, Creative Commons Attribution/Share-Alike License

non- +‎ commuting.


  • Schrödinger, who only two years earlier gave a general, and compared with Heisenberg's formula still more restrictive, derivation of the relations for any pair of noncommuting operators, challenged Heisenberg's view as inconsistent; Schrödinger claimed that a denial of sharp values for position and momentum amounts to renouncing the very concept of a particle (mass - point) (Schrödinger, 1930; 1932).


  • Under these circumstances the idea that noncommuting variables are not necessarily incompat - ible but can be measured simultaneously on individual systems would not violate the statistical interpretation.


  • It’s convenient to represent statistical measurement by operators, and to represent the impossibility of joint probability distributions, for certain combinations of measurements, by using noncommuting operators.

    Everything You Ever Wanted to Know About Quantum Mechanics, But Were Afraid to Ask

  • ± „/2) ” energy too may be quantized in this sense ” nor even precisely that the components of spin in the different directions fail to commute and so cannot be simultaneously discussed, measured, imagined, or whatever it is that we are admonished not to do with noncommuting observables.

    Bohmian Mechanics


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