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Communications in Mathematical Physics

, Volume 44, Issue 2, pp 129–132 | Cite as

Uncertainty relations for information entropy in wave mechanics

  • Iwo Białynicki-Birula
  • Jerzy Mycielski
Article

Abstract

New uncertainty relations in quantum mechanics are derived. They express restrictions imposed by quantum theory on probability distributions of canonically conjugate variables in terms of corresponding information entropies. The Heisenberg uncertainty relation follows from those inequalities and so does the Gross-Nelson inequality.

Keywords

Entropy Neural Network Statistical Physic Probability Distribution Complex System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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    Zygmund, A.: Trigonometric series, Vol. II, p. 101. Cambridge University Press 1959Google Scholar

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • Iwo Białynicki-Birula
    • 1
    • 2
  • Jerzy Mycielski
    • 1
  1. 1.Institute of Theoretical PhysicsWarsaw UniversityWarsawPoland
  2. 2.Department of PhysicsUniversity of PittsburghPittsburghUSA

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