Fisher information, the Hellmann-Feynman theorem, and the Jaynes reciprocity relations

DOI10.1016/j.aop.2011.07.009zbMath1236.94040OpenAlexW1964641997MaRDI QIDQ643653

S. P. Flego, Angel Ricardo Plastino, Angel Plastino

Publication date: 2 November 2011

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2011.07.009

zbMATH Keywords

Fisher informationHellmann-Feynman theoremMaxEntreciprocity relations

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Measures of information, entropy (94A17)

Related Items (6)

Hellmann-Feynman connection for the relative Fisher information ⋮ Fisher information framework for time series modeling ⋮ Quantum information entropies for the \(\ell \)-state Pöschl-Teller-type potential ⋮ Information theory of consequences of the scale-invariance of Schrödinger's equation ⋮ Fisher and Shannon information entropies for a noncentral inversely quadratic plus exponential Mie-type potential ⋮ Relative Fisher information in some central potentials

Cites Work

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• A simple mathematical model for anomalous diffusion via Fisher's information theory
• Physical symmetries and Fisher's information measure
• Zipf's law from a Fisher variational-principle
• Fisher information and semiclassical treatments
• Fisher information as a measure of time
• On the relationship between the Fisher-Frieden-Soffer arrow of time, and the behaviour of the Boltzmann and Kullback entropies
• Coefficients of Diffusion, Viscosity, and Thermal Conductivity of a Gas
• Forces in Molecules

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