Uncertainty relations for information entropy in wave mechanics


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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Research partly supported by the NSF Grant 36217.

Communicated by R. Haag

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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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  • Entropy
  • Neural Network
  • Statistical Physic
  • Probability Distribution
  • Complex System