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

S. E. Massen·C. P. Panos
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Abstract

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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S. E. Massen, C. P. Panos. 2001-01-19. A link of information entropy and kinetic energy for quantum many-body systems. https://doi.org/10.1016/s0375-9601(01)00030-5

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