Eigenfunctions and eigenvalues of the Thomas-Fermi density matrix. The simple harmonic oscillator
1973; American Institute of Physics; Volume: 58; Issue: 7 Linguagem: Inglês
10.1063/1.1679583
ISSN1520-9032
AutoresGeorge S. Handler, Virginia L. Benton,
Tópico(s)Spectroscopy and Quantum Chemical Studies
ResumoThe eigenfunctions and eigenvalues of a Hermitian Thomas-Fermi density matrix for the one-dimensional harmonic oscillator are examined in detail. The major defect of Thomas-Fermi theory is shown to be the departure of the density matrix from N representability. The imposition of indempotency leads to greatly improved particle densities, including very well developed density oscillations.
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