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Notes on a Valence Electron Model of Atoms
Author(s) -
Kunz A. B.
Publication year - 1968
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.19680260208
Subject(s) - hamiltonian (control theory) , valence (chemistry) , valence electron , hermitian matrix , electron , physics , hydrogen atom , quantum mechanics , atomic physics , statistical physics , theoretical physics , mathematics , mathematical optimization , group (periodic table)
The exact solutions to the “valence‐electron model Hamiltonian” are considered. This model was suggested in recent articles by Wang. It is shown that for a certain range of C in the potential term – C r −2 , solutions to the problem exist which are formally identical to the usual solutions for the hydrogen atom problem. It is also seen that for a wide range of the parameter C , there exist no solutions for which the Hamiltonian is Hermitian. The implications of this are discussed, and uses of this model considered.