Information dynamics: temporal behavior of uncertainty measures

• Authors: Piotr Garbaczewski
• Languages of publication: EN

Abstracts

EN

We carry out a systematic study of uncertainty measures that are generic to dynamical processes of varied origins, provided they induce suitable continuous probability distributions. The major technical tools are the information theory methods and inequalities satisfied by Fisher and Shannon information measures. We focus on the compatibility of these inequalities with the prescribed (deterministic, random or quantum) temporal behavior of pertinent probability densities.

Keywords

EN

information functionals; information theoretic inequalities; Shannon entropy; Fisher information; dynamics of probability densities; entropy methods; Smoluchowski processes; Schrödinger picture evolution

Discipline

• 03.65.Ta: Foundations of quantum mechanics; measurement theory(for optical tests of quantum theory, see 42.50.Xa)
• 02.50.Ey: Stochastic processes
• 05.40.Jc: Brownian motion

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 1
• Pages: 158-170

Dates

published

1 - 3 - 2008

online

26 - 3 - 2008

Contributors

author

Piotr Garbaczewski

• Institute of Physics, University of Opole, 45-052, Opole, Poland

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Identifiers

DOI

10.2478/s11534-008-0020-6