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Entropic uncertainty relations in quantum mechanics

Part of the Lecture Notes in Mathematics book series (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.

Key words

  • Uncertainty relations
  • information
  • entropy
  • quantum measurement

Certwm est quia impossibile est Tertullian

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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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