Open AccessOn a single particle potential for atomic clusters
Author(s) -
B. A. Kotsos,
Theodore E. Liolios,
M. E. Grypeos,
C. G. Koutroulos,
S. E. Massen
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.2783
Subject(s) - eigenvalues and eigenvectors , valence electron , electron , atomic physics , physics , valence (chemistry) , perturbation (astronomy) , quantum mechanics
The single-particle potential V(r) = -Vo[1+(r/K)^β)^-1, which has been proposed in the recent years for atomic (metal) clusters, is studied analytically in the case β = 2. By using perturbation-type techniques, approximate analytic expressions are obtained for the energy eigenvalues and other physically interesting quantities showing the variation of these quantities with the number of valence electrons. The accuracy is tested for Al clusters and is usually very good.