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Fisher information, Wehrl entropy, and Landau Diamagnetism

S. Curilef·F. Pennini·A. Plastino
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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.

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S. Curilef, F. Pennini, A. Plastino. 2004-09-22. Fisher information, Wehrl entropy, and Landau Diamagnetism. https://doi.org/10.1103/physrevb.71.024420

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