Uncertainty relations in terms of the Tsallis entropy
- 17 June 2009
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 79 (6), 062108
- https://doi.org/10.1103/physreva.79.062108
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.Keywords
Other Versions
This publication has 21 references indexed in Scilit:
- Some extensions of the uncertainty principlePhysica A: Statistical Mechanics and its Applications, 2008
- Quantum properties of exponential statesPhysical Review A, 2007
- On classes of non-Gaussian asymptotic minimizers in entropic uncertainty principlesPhysica A: Statistical Mechanics and its Applications, 2007
- Formulation of the uncertainty relations in terms of the Rényi entropiesPhysical Review A, 2006
- Entropic nonextensivity: a possible measure of complexityChaos, Solitons, and Fractals, 2002
- Mixing and equilibration: protagonists in the scene of nonextensive statistical mechanicsPhysica A: Statistical Mechanics and its Applications, 2002
- Generalized entropy as a measure of quantum uncertaintyPhysica A: Statistical Mechanics and its Applications, 1996
- The Sobolev inequality and the Tsallis entropic uncertainty relationPhysics Letters A, 1995
- Possible generalization of Boltzmann-Gibbs statisticsJournal of Statistical Physics, 1988
- Entropic uncertainty relationsPhysics Letters A, 1984