Fisher information, Wehrl entropy, and Landau Diamagnetism

Details Fisher information, Wehrl entropy, and Landau Diamagnetism Fisher information, Wehrl entropy, and Landau Diamagnetism

2004-09-22

arxiv.org/abs/cond-mat/0409589v1

Physical Review B 71, 024420 (2005)

Physics

Condensed Matter

Statistical Mechanics

no figures. Physical Review B (2005) in press

Scientific paper

10.1103/PhysRevB.71.024420

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.

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