Uncertainty relations in terms of the Tsallis entropy

2008/06/30 by G. Wilk, Grzegorz Wilk, Z. Włodarczyk +1 · 39 citations
Decision Sciences · Mathematics · Physics and Astronomy · #Advanced Statistical Methods and Models #Entropic uncertainty #Entropy (arrow of time) #Inequality #Mathematical analysis #Mathematics #Physics #Probabilistic and Robust Engineering Design #Quantum #Quantum mechanics #Statistical Mechanics and Entropy #Statistical physics #Thermodynamics #Tsallis entropy #Tsallis statistics #Uncertainty principle #cond-mat.stat-mech #hep-ph #quant-ph

paper · pdf · doi:10.1103/physreva.79.062108

published in Physical Review A 79(6) (American Physical Society) · Final version accepted in Phys. Rev. A. One footnote added

arxiv created 2009/05/28 · openalex publication_date 2009/06/17 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Uncertainty relations emerging from the Tsallis entropy are derived and discussed. In particular we found a positively defined function that saturates the so-called entropic inequalities for entropies characterizing the physical states under consideration.

Citations

• Some extensions of the uncertainty principle
• On classes of non-Gaussian asymptotic minimizers in entropic uncertainty principles
• Inequalities in Fourier Analysis
• The imprints of nonextensive statistical mechanics in high-energy collisions☆