Variational RPA for the Mie resonance in jellium

Physics – Atomic and Molecular Clusters

Scientific paper

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17 pages and 2 figures

Scientific paper

The surface plasmon in simple metal clusters is red-shifted from the Mie frequency, the energy shift being significantly larger than the usual spill-out correction. Here we develop a variational approach to the RPA collective excitations. Using a simple trial form, we obtain analytic expressions for the energy shift beyond the spill-out contribution. We find that the additional red shift is proportional to the spill-out correction and can have the same order of magnitude.

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