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 |
References:
| [1] | Shiltsev, V.; Zimmermann, F., Modern and future colliders. Rev. Mod. Phys. (Mar 2021) |
| [2] | Wiedemann, H., Particle Accelerator Physics (2011), Springer |
| [3] | Zimmermann, R.; Seidling, M.; Hommelhoff, P., Charged particle guiding and beam splitting with auto-ponderomotive potentials on a chip. Nat. Commun., 1 (Jan 2021) |
| [4] | Forcada, M. L.; Gras-Martí, A.; Arista, N. R.; Urbassek, H. M.; Garcia-Molina, R., Interaction of a Charged Particle with a Semi Infinite Non Polar Dielectric Liquid (1991), Springer US: Springer US Boston, MA |
| [5] | Dabagov, S. B., Channeling of neutral particles in micro- and nanocapillaries. Phys. Usp., 10, 1053-1075 (2003) |
| [6] | Kumakhov, M. A., Radiation of channeled particles in crystals |
| [7] | Kumakhov, M. A.; Komarov, F. F., Multiple reflection from surface x-ray optics. Phys. Rep., 5, 289-350 (1990) |
| [8] | Khounsary, A.; MacDonald, C. A., Focusing polycapillary optics and their applications. X-Ray Opt. Instrum. (2010) |
| [9] | Dabagov, S. B.; Gladkikh, Y. P., Advanced channeling technologies for x-ray applications. Radiat. Phys. Chem., 3-16 (2019) |
| [10] | Stolterfoht, N.; Bremer, J.-H.; Hoffmann, V.; Hellhammer, R.; Fink, D.; Petrov, A.; Sulik, B., Transmission of 3 kev \(\operatorname{Ne}^{7 +}\) ions through nanocapillaries etched in polymer foils: evidence for capillary guiding. Phys. Rev. Lett. (2002) |
| [11] | Schiessl, K.; Palfinger, W.; Tőkési, K.; Nowotny, H.; Lemell, C.; Burgd, J., Simulation of guiding of multiply charged projectiles through insulating capillaries. Phys. Rev. A (2005) |
| [12] | Stolterfoht, N.; Yamazaki, Y., Guiding of charged particles through capillaries in insulating materials. Phys. Rep., 1-107 (2016) |
| [13] | Schiessl, K.; Palfinger, W.; Lemell, C.; Burgdörfer, J., Simulation of guiding of highly charged projectiles through insulating nanocapillaries. Inelastic Ion-Surface Collisions. Nucl. Instrum. Methods B, 1, 228-234 (2005) |
| [14] | Dabagov, S. B.; Dik, A. V., On channeling of charged particles in a single dielectric capillary (13 Sep 2021) |
| [15] | Dabagov, S. B.; Dik, A. V., Surface channeling of charged and neutral beams in capillary guides. Quantum Beam Sci., 1 (2022) |
| [16] | Abramowitz, M.; Stegun, I. A., Handbook of mathematical functions · Zbl 0515.33001 |
| [17] | Rivacoba, A.; Zabala, N.; Aizpurua, J., Image potential in scanning transmission electron microscopy. Prog. Surf. Sci., 1, 1-64 (2000) |
| [18] | Mahan, G. D., Elementary Excitations in Solids, Molecules and Atoms. Part B (1974), Plenum Press |
| [19] | Bohr, N., The penetration of atomic particles through matter. Kgl. Dan. Vid. Selsk. Mat.- Fys. Medd., 8, 1-144 (1948) · Zbl 0033.04503 |
| [20] | Lindhard, J., Influence of crystal lattice on motion of energetic charged particles. Kongel. Dan. Vidensk. Selsk., Mat.-Fys. Medd., 14 (1965) |
| [21] | Appleton, B. R.; Erginsoy, C.; Gibson, W. M., Channeling effects in the energy loss of 3-11-MeV protons in silicon and germanium single crystals. Phys. Rev., 330-349 (1967) |
| [22] | Gemmell, D. S., Channeling and related effects in the motion of charged particles through crystals. Rev. Mod. Phys., 1, 129-227 (1974) |
| [23] | Landau, L. D.; Lifshiz, E. M., Quantum Mechanics: Non-Relativistic Theory. Course of Theoretical Physics (1977), Permagon Press |
| [24] | Dedkov, G. V.; Kyasov, A. A., Fluctuation-electromagnetic interaction under dynamic and thermal nonequilibrium conditions. Phys. Usp., 6, 559-585 (2017) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
