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

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

1998-02-04

arxiv.org/abs/quant-ph/9802014v1

Phys.Lett. A246 (1998) 530-533

Physics

Quantum Physics

3 pages, REVTEX, one figure

Scientific paper

10.1016/S0375-9601(98)00524-6

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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