The wave-vector dispersion of collective modes in small particles is investigated within the time-dependent local-density approximation as applied to a self-consistent jellium particle. It is shown that the dispersion of the volume plasmons can be understood from that in an infinite electron gas. For a given multipole an optimum wave vector exists for the quasiresonant excitation of the volume mode but not for the surface mode. It is pointed out that---for the volume modes---the hydrodynamic approximation gives a reasonable first guess for the relation between frequencies and size-quantized wave vectors.
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W. Ekardt (1987) studied this question.
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