The self-consistent field treatment of the electronic wave functions of a solid is used as a basis for a theory of plasma oscillations in a metal. Two procedures are used to calculate the plasma frequency, both being based on the Bohm and Pines method of introducing the plasma oscillators. It is found that band-to-band virtual transitions have a strong effect on the plasma oscillations in a metal. It is concluded that the effective mass treatments are not adequate to treat the electron-plasma interaction, except perhaps in certain semiconductors.
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E. N. Adams (1955) studied this question.
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