Regular and Chaotic Motion Domains in the Channeling Electron's Phase Space and Mean Level Density for Its Transverse Motion Energy
| Autor: | A. I. Tarnovsky, V.I. Dronik, N. F. Shul'ga, A. Yu. Isupov, V. V. Syshchenko |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
Accelerator Physics (physics.acc-ph) 010308 nuclear & particles physics Chaotic Semiclassical physics Motion (geometry) FOS: Physical sciences Electron Level-spacing distribution Nonlinear Sciences - Chaotic Dynamics 01 natural sciences Charged particle 030218 nuclear medicine & medical imaging Nonlinear Sciences::Chaotic Dynamics 03 medical and health sciences 0302 clinical medicine Quantum mechanics Phase space 0103 physical sciences Physics - Accelerator Physics Chaotic Dynamics (nlin.CD) Instrumentation Quantum Mathematical Physics |
| Popis: | The motion of charged particles in a crystal in the axial channeling regime can be both regular and chaotic. The chaos in quantum case manifests itself in the statistical properties of the energy levels set. These properties have been studied previously for the electrons channeling along [110] direction of the silicon crystal, in the case when the classical motion was completely chaotic. The case of channeling along [100] direction is of special interest because the classical motion here can be both regular and chaotic for the same energy depending on the initial conditions. The semiclassical energy level density (as well as its part that corresponds to the regular motion domains in the phase space) is computed for the 10 GeV channeling electrons and positrons. It is demonstrated that the level spacing distribution for both electrons and positrons can be better described by Berry--Robnik distribution than by both Wigner (completely chaotic case) or Poisson (completely regular case) distributions. Presented on the XIII International Symposium <> September 16-20, 2019, Belgorod, Russian Federation. Version 2: accepted for publication in JINST; figure captions and the Conclusion enlarged, typos corrected |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|