On charged particle dynamics near flat solid surface. (English) Zbl 1535.81047
Summary: The motion of a non-relativistic charged particle near flat solid surface at small sliding angles is examined within the formalism of the effective potential composed by interaction of a particle with surface atoms and excited plasmons. As known, the presence of curvature in a solid surface can result in forming a set of discrete quantum states for a particle in the potential well of interaction with the surface.
In this work we demonstrate that, at the glancing to flat-surface motion of fast charged particles, small channeling oscillations can be also observed for some special conditions. It is shown that the effective interaction potential represents a shallow well capable to hold a particle in a bound state. We succeeded to analytically determine the energy levels of a particle in such a potential well, as well as the critical angle for a particle to be trapped, in terms of known critical angle of channeling in crystals and a newly proposed function for simplification.
In this work we demonstrate that, at the glancing to flat-surface motion of fast charged particles, small channeling oscillations can be also observed for some special conditions. It is shown that the effective interaction potential represents a shallow well capable to hold a particle in a bound state. We succeeded to analytically determine the energy levels of a particle in such a potential well, as well as the critical angle for a particle to be trapped, in terms of known critical angle of channeling in crystals and a newly proposed function for simplification.
MSC:
81P47 | Quantum channels, fidelity |
53A05 | Surfaces in Euclidean and related spaces |
78A35 | Motion of charged particles |
82D10 | Statistical mechanics of plasmas |
81V10 | Electromagnetic interaction; quantum electrodynamics |
57R67 | Surgery obstructions, Wall groups |
47A10 | Spectrum, resolvent |
82B27 | Critical phenomena in equilibrium statistical mechanics |
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