Fisher information, Wehrl entropy, and Landau Diamagnetism
Statistical Mechanics
2009-11-10 v1
Abstract
Using information theoretic quantities like the Wehrl entropy and Fisher's information measure we study the thermodynamics of the problem leading to Landau's diamagnetism, namely, a free spinless electron in a uniform magnetic field. It is shown that such a problem can be "translated" into that of the thermal harmonic oscillator. We discover a new Fisher-uncertainty relation, derived via the Cramer-Rao inequality, that involves phase space localization and energy fluctuations.
Keywords
Cite
@article{arxiv.cond-mat/0409589,
title = {Fisher information, Wehrl entropy, and Landau Diamagnetism},
author = {S. Curilef and F. Pennini and A. Plastino},
journal= {arXiv preprint arXiv:cond-mat/0409589},
year = {2009}
}
Comments
no figures. Physical Review B (2005) in press