The use of an independent boson model to study the dynamic effects of electron excitations by a particle colliding with a metal surface

Kok-Ming Leung, G. Schön, P. Rudolph, Horia Metiu

    Research output: Contribution to journalArticle

    Abstract

    We derive an algorithm which permits the calculation of our independent boson Hamiltonian for a jellium with a surface, which gives, when solved exactly, the same results as the random phase approximation. Applications to films and spheres are discussed in detail. The independent boson scheme is applied to the computation of the influence of the electron-hole pair excitations on the trajectory of a charged particle scattered by the metal surface. We show that the classical equation of motion of the particle, coupled to the quantized boson fields, is stochastic and must contain a peculiar force which depends on the final state of the quantum fields and on the past and the future of the trajectory. If the bosons are held at constant temperature, the motion of the particle is given by a quantum Langevin equation, which is derived here. The equation of motion derived here can be applied to both phonon-or electron-hole pair excitations.

    Original languageEnglish (US)
    Pages (from-to)3307-3321
    Number of pages15
    JournalThe Journal of chemical physics
    Volume81
    Issue number7
    StatePublished - 1984

    Fingerprint

    Bosons
    metal surfaces
    bosons
    Metals
    Electrons
    equations of motion
    trajectories
    excitation
    Equations of motion
    boson fields
    electrons
    Trajectories
    Hamiltonians
    charged particles
    Charged particles
    approximation
    temperature
    Temperature

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

    Cite this

    The use of an independent boson model to study the dynamic effects of electron excitations by a particle colliding with a metal surface. / Leung, Kok-Ming; Schön, G.; Rudolph, P.; Metiu, Horia.

    In: The Journal of chemical physics, Vol. 81, No. 7, 1984, p. 3307-3321.

    Research output: Contribution to journalArticle

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