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Collective Oscillations of Atomic Electrons in the Statistical Theory of Atoms
Author(s) -
Ishmukhametov B. Kh.
Publication year - 1971
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.2220450232
Subject(s) - atomic physics , electron , physics , spectral line , argon , discrete spectrum , radiation , plasma , absorption (acoustics) , emission spectrum , spectrum (functional analysis) , absorption spectroscopy , quantum mechanics , optics , eigenvalues and eigenvectors
Starting from the integral equation for the self‐consistent potential it is shown that the eigenfrequencies of the collective oscillations form a discrete spectrum. According to the calculations for argon the spectrum covers a rather narrow band of frequencies 3×10 16 S −1 ≦ ≦ ω ≦ 10 17 S −1 . The value of the estimated damping decrement γ ≈ 7 × 10 15 S −1 indicates that at frequencies of about 10 17 S −1 the proposed plasma mechanism will be predominant in the absorption and emission processes of radiation. It is expected that the considered collective states may be observed in X‐ray emission and absorption spectra of solids as well as of gases.