Abstract
Non-retarded surface collective excitations (optical phonons and plasmons) are investigated in solids of general shape, and their polarization eigenmodes and frequencies are found. The cases of prolate and oblate spheroids and rotational paraboloids are studied in detail. The coupling of a charged particle to surface excitations is treated in the Hamiltonian formalism. Its spatial variation is studied, especially its dependence on the relative particle position with respect to the local surface curvature, which determines the contribution of each surface mode to the overall excitation spectrum in charged-particle — surface scattering.
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Brako, R., Hrnčević, J. & Šunjić, M. Curvature dependence of surface phonon and plasmon frequencies. Z Physik B 21, 193–201 (1975). https://doi.org/10.1007/BF01322251
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DOI: https://doi.org/10.1007/BF01322251