Uncertainty relations expressed by Shannon-like entropies

• Authors: V. Majerník , Eva Majerníková , S. Shpyrko
• Languages of publication: EN

Abstracts

EN

Besides the well-known Shannon entropy, there is a set of Shannon-like entropies which have applications in statistical and quantum physics. These entropies are functions of certain parameters and converge toward Shannon entropy when these parameters approach the value 1. We describe briefly the most important Shannon-like entropies and present their graphical representations. Their graphs look almost identical, though by superimposing them it appears that they are distinct and characteristic of each Shannon-like entropy. We try to formulate the alternative entropic uncertainty relations by means of the Shannon-like entropies and show that all of them equally well express the uncertainty principle of quantum physics.

Keywords

EN

Entropic uncertainty relations; quantum theory; probabilistic systems; generalized entropies; Tsallis entropies; 03.67.-a; 05.20-y; 89.70.+c

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2003
• Volume: 1
• Issue: 3
• Pages: 393-420

Dates

published

1 - 9 - 2003

online

1 - 9 - 2003

Contributors

author

V. Majerník

author

Eva Majerníková

author

S. Shpyrko

• Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta, SK-84 228, Bratislava, Slovak Republic

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Identifiers

DOI

10.2478/BF02475852