Abstract
We study the dynamic electronic polarizability of a single nano-scale spherical metallicgrain using a quantum mechanical approach. We introduce the model for interactingelectrons bound in the grain allowing us numerically to calculate the frequency dependenceof the polarizability of grains of different sizes. We show that within this model themain resonance peak corresponding to the surface plasmon mode is blue-shiftedand some minor secondary resonances above and below the main peak exist.We study the behavior of blue-shift as a function of grain size and compare ourfindings with the classical polarizability and with other results in the literature.
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