Wave functions of channeling electrons in regular and chaotic cases

11th International Symposium on Radiation from Relativistic Electrons in Periodic Structures

Shul'Ga, N.F.^1,2 ; Syshchenko, V.V.^3 ; Tarnovsky, A.I.^3 ; Isupov, A Yu^4

Akhiezer Institute for Theoretical Physics of the NSC, KIPT, Akademicheskaya Street, 1, Kharkov

61108, Ukraine^1

V.N. Karazin National University, Svobody Square, 4, Kharkov

61022, Ukraine^2

Belgorod State University, Pobedy Street, 85, Belgorod

308015, Russia^3

Laboratory of High Energy Physics (LHEP), Joint Institute for Nuclear Research (JINR), Dubna

141980, Russia^4

关键词: Axial channeling;    Channeling electrons;    Dinger equation;    Electron motion;    Numerical solution;    Silicon crystal;    Spectral methods;    [110] direction;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/732/1/012034/pdf
DOI  :  10.1088/1742-6596/732/1/012034

来源: IOP

【 摘 要 】

The spectral method applicability to the problem of the charged particles axial channeling is studied. The quantum state characteristics for the electron motion near the atomic string [110] direction of the silicon crystal are obtained using this method of Schrödinger equation numerical solution. The full set of eigenenergies and eigenfunctions for the electron with longitudinal energy of 5 MeV is computed. The results obtained illustrate the difference in the wave function morphology for regular and chaotic cases.