On spectral method in the axial channeling theory
arXiv:1301.2101 · doi:10.1016/j.nimb.2013.01.022
Abstract
The quantization of the transverse motion energy in the continuous potentials of atomic strings and planes can take place under passage of fast charged particles through crystals. The energy levels for electron moving in axial channeling regime in a system of parallel atomic strings (for instance, [110] strings of a silicon crystal) are found in this work for the electron energy of order of several tens of MeV, when a total number of energy levels becomes large (up to several hundreds). High resolution of the spectral method used for energy level search has been demonstrated. Hence this method could be useful for investigation of quantum chaos problem.
11 pages, 4 figures, presented on the conference "Channeling-2012", 23-28 September 2012 Alghero, Sardegna, Italy; accepted for publication in Nuclear Instruments and Methods B
Cited by in corpus (4)
- Structure of the channeling electrons wave functions under dynamical chaos conditions
- Regular and Chaotic Motion Domains in the Channeling Electron's Phase Space and Mean Level Density for Its Transverse Motion Energy
- Dynamical Chaos and Level Splitting under the Channeling of the High Energy Positrons in [100] Direction of the Silicon Crystal
- Mixed (Regular and Chaotic) Dynamics under the Channeling of the High Energy Positrons in [100] Direction of the Silicon Crystal and Podolskiy-Narimanov Distribution