A link of information entropy and kinetic energy for quantum many-body systems

Details A link of information entropy and kinetic energy for quantum many-body systems A link of information entropy and kinetic energy for quantum many-body systems

2001-01-19

arxiv.org/abs/nucl-th/0101040v1

Phys.Lett. A280 (2001) 65-69

Physics

Nuclear Physics

Nuclear Theory

10 pages, 4 figures, LaTeX, Phys.Lett. A, in press

Scientific paper

10.1016/S0375-9601(01)00030-5

A direct connection of information entropy $S$ and kinetic energy $T$ is obtained for nuclei and atomic clusters, which establishes $T$ as a measure of the information in a distribution. It is conjectured that this is a universal property for fermionic many-body systems. We also check rigorous inequalities previously found to hold between S and T for atoms and verify that they hold for nuclei and atomic clusters as well. These inequalities give a relationship of Shannon's information entropy in position-space with an experimental quantity i.e. the rms radius of nuclei and clusters.

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