Shannon entropy, Fisher information and uncertainty relations for log-periodic oscillators

V. Aguiar and I. Guedes

Physica A: Statistical Mechanics and its Applications, 2015, vol. 423, issue C, 72-79

Abstract: We calculate the time-dependent Shannon (Sx and Sp) entropy and Fisher (Fx and Fp) information of three log-periodic oscillators. We obtain a general expression for Sx,p and Fx,p in the state n=0 in terms of ρ, a c-number quantity satisfying a nonlinear differential equation. For two out of three oscillators Sx,p and Fx,p depend on time, but Sx+Sp and FxFp do not. The other oscillator behaves as the time-independent harmonic oscillator where Sx,p and Fx,p are all constants. Relations among the Fisher information and the Stam and Cramer–Rao inequalities are also discussed.

Keywords: Shannon entropy; Fisher information; Log-periodic oscillators (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:423:y:2015:i:c:p:72-79

DOI: 10.1016/j.physa.2014.12.031

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