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Universal property of the information entropy in atoms, nuclei and atomic clusters

1998/02/04 by S. E. Massen, S.E. Massen, C. P. Panos +1 · 3 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Mechanics and Non-Hermitian Physics #Statistical Mechanics and Entropy #quant-ph

paper · pdf · doi:10.1016/s0375-9601(98)00524-6

published as Phys.Lett. A246 (1998) 530-533 · 3 pages, REVTEX, one figure

arxiv created 1998/02/04 · openalex publication_date 1998/09/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The position- and momentum-space information entropies of the electron distributions of atomic clusters are calculated using a Woods-Saxon single particle potential. The same entropies are also calculated for nuclear distributions according to the Skyrme parametrization of the nuclear mean field. It turns out that a similar functional form S=a+b ln N for the entropy as function of the number of particles N holds approximately for atoms, nuclei and atomic clusters. It is conjectured that this is a universal property of a many-fermion system in a mean field. It is also seen that there is an analogy of our expression for S to Boltzmann's thermodynamic entropy S=k ln W.

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