Year: 2006
Type: preprint
Abstract: Shannon entropy and Fisher information functionals are known to quantify certain information-theoretic properties of continuous probability distributions of various origins. We carry out a systematic study of these functionals, while assuming that the pertinent probability density has a quantum mechanical appearance $ρ\doteq |ψ|^2$, with $ψ\in L^2(R)$. Their behavior in time, due to the quantum Schrödinger picture evolution-induced dynamics of $ρ(x,t)$ is investigated as well, with an emphasis on thermodynamical features of quantum motion.
Source: arXiv (Cornell University)
Author: Garbaczewski, Piotr
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1672587516