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Uncertainty relations for information entropy in wave mechanics

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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.

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References

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Authors and Affiliations

  1. Institute of Theoretical Physics, Warsaw University, 00-681, Warsaw, Poland

    Iwo Białynicki-Birula & Jerzy Mycielski

  2. Department of Physics, University of Pittsburgh, Pittsburgh, USA

    Iwo Białynicki-Birula

Authors
  1. Iwo Białynicki-Birula
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  2. Jerzy Mycielski
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Additional information

Communicated by R. Haag

Research partly supported by the NSF Grant 36217.

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Białynicki-Birula, I., Mycielski, J. Uncertainty relations for information entropy in wave mechanics. Commun.Math. Phys. 44, 129–132 (1975). https://doi.org/10.1007/BF01608825

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  • DOI: https://doi.org/10.1007/BF01608825

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