Maximum Rényi entropy principle and the generalized Thomas-Fermi model

DOI10.1016/j.physleta.2009.01.004zbMath1228.81286OpenAlexW1970687815MaRDI QIDQ653450

Juan-Miguel Gracia

Publication date: 19 December 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.01.004

Mathematics Subject Classification ID

Atomic physics (81V45) Measures of information, entropy (94A17) Variational principles of physics (49S05)

Related Items (11)

A possible generalization Shannon's entropy using \(q\)-calculus ⋮ Rényi entropy of the \(U(3)\) vibron model ⋮ Rényi statistics in equilibrium statistical mechanics ⋮ On the information obtained using Shannon's entropy through spin density ⋮ An approach to local electron energy in atoms through Rényi's entropy ⋮ Energy and information-entropic measures of Hulthén potential in \(D\) dimension by a new approximation to centrifugal term ⋮ Quantum gravity corrections to a system of self-gravitating fermions ⋮ Relativistic formulation of the generalized nonextensive Thomas-Fermi model ⋮ \(q\)-Rényi's entropy as a possible measure of electron correlation ⋮ Rényi's divergence as a chemical similarity criterion ⋮ A generalized statistical complexity based on Rényi entropy of a noncommutative anisotropic oscillator in a homogeneous magnetic field

Cites Work

• A Mathematical Theory of Communication
• Rényi information of atoms
• A link of information entropy and kinetic energy for quantum many-body systems
• Additivity properties of a Gaussian channel
• Generalized Thomas-Fermi approach for systems under pressure

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