1,055 research outputs found

    Plasmon excitation by charged particles interacting with metal surfaces

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    Recent experiments (R. A. Baragiola and C. A. Dukes, Phys. Rev. Lett. {\bf 76}, 2547 (1996)) with slow ions incident at grazing angle on metal surfaces have shown that bulk plasmons are excited under conditions where the ions do not penetrate the surface, contrary to the usual statement that probes exterior to an electron gas do not couple to the bulk plasmon. We here use the quantized hydrodynamic model of the bounded electron gas to derive an explicit expression for the probability of bulk plasmon excitation by external charged particles moving parallel to the surface. Our results indicate that for each q{\bf q} (the surface plasmon wave vector) there exists a continuum of bulk plasmon excitations, which we also observe within the semi-classical infinite-barrier (SCIB) model of the surface.Comment: 4 pages, 3 figures, o appear in Phys. Lett.

    On the algorithmic construction of classifying spaces and the isomorphism problem for biautomatic groups

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    We show that the isomorphism problem is solvable in the class of central extensions of word-hyperbolic groups, and that the isomorphism problem for biautomatic groups reduces to that for biautomatic groups with finite centre. We describe an algorithm that, given an arbitrary finite presentation of an automatic group Γ\Gamma, will construct explicit finite models for the skeleta of K(Γ,1)K(\Gamma,1) and hence compute the integral homology and cohomology of Γ\Gamma.Comment: 21 pages, 4 figure
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