Open AccessThe variation of the Ηωwith the particle number and the appearance of "kinks" for atomic clusters
Author(s) -
B. A. Kotsos,
M. E. Grypeos
Publication year - 2020
Publication title -
hnps advances in nuclear physics
Language(s) - English
Resource type - Journals
eISSN - 2654-0088
pISSN - 2654-007X
DOI - 10.12681/hnps.2782
Subject(s) - classification of discontinuities , particle (ecology) , harmonic oscillator , basis (linear algebra) , atomic number , distribution (mathematics) , variation (astronomy) , atomic physics , energy (signal processing) , physics , quantum mechanics , geometry , mathematics , mathematical analysis , geology , oceanography , astrophysics
The dependence of the harmonic oscillator (HO) energy level spacing Ηω on the particle number Ν is studied analytically for atomic clusters on the basis of their electronic densities, parametrizing Ekardt's results (for sodium clusters) by means of a Fermi distribution. An interesting feature of such an approach is that it leads, under the assumptions made, to "kinks", that is to "marked discontinuities in the slope" of Ηω at the closed shells. These discontinuities diminish as Ν increases.