Information theory and Wigner crystallization: A model perspective | Zendy

Thompson David C. | Zendy; Anderson James S. M. | Zendy; Sen K. D. | Zendy

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Information theory and Wigner crystallization: A model perspective

Author(s) -

Thompson David C.,

Anderson James S. M.,

Sen K. D.

Publication year - 2021

Publication title -

international journal of quantum chemistry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.484

H-Index - 105

eISSN - 1097-461X

pISSN - 0020-7608

DOI - 10.1002/qua.26549

Subject(s) - statistical physics , wave function , information theory , entropy (arrow of time) , physics , radius , range (aeronautics) , semiclassical physics , quantum mechanics , mathematics , computer science , quantum , materials science , statistics , computer security , composite material

Accurate restricted Hartree‐Fock (RHF) wave‐functions are used to investigate information theoretic properties of the model problem of two interacting electrons confined within an infinite spherical potential of radius R . Benchmark quality calculations are performed to characterize this system via a range of information measures as a function of the tunable parameter R , across the full electron correlation regime (low to high correlation; small R to large R ). Both the Shannon information entropy and a statistical complexity measure provide quantitative insight regarding the onset of the formation of a “Wigner molecule” state for this system.

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