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Entropic uncertainty relations in quantum mechanics

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Quantum Probability and Applications II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1136))

Abstract

New uncertainty relations based on the information entropy are reviewed and contrasted with the traditional uncertainty relations, which were based on the dispersions of the the physical variables. Improved lower bounds are given for the position-momentum and the angle-angular momentum pairs. Novel uncertainty relation for the angular distribution and angular momentum in the three-dimensional space is introduced.

Certwm est quia impossibile est Tertullian

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Author information

Authors and Affiliations

  1. Institute for Theoretical Physics, Lotnikow 32/46, 02-668, Warsaw, Poland

    Iwo Bialynicki-Birula

Authors
  1. Iwo Bialynicki-Birula
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Editor information

Luigi Accardi Wilhelm von Waldenfels

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© 1985 Springer-Verlag

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Bialynicki-Birula, I. (1985). Entropic uncertainty relations in quantum mechanics. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications II. Lecture Notes in Mathematics, vol 1136. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074463

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  • DOI: https://doi.org/10.1007/BFb0074463

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15661-1

  • Online ISBN: 978-3-540-39570-6

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