Wave Functions of Channeling Electrons in Regular and Chaotic Cases

7 Sept 2015, 15:45
15m
Oral 7. Processes with Crystalline Targets 7. Processes with Crystalline Targets

Speaker

Prof. Vladislav Syshchenko (Belgorod National Research University, Belgorod, Russian Federation)

Description

The motion of fast electrons through the crystal under axial channeling could be both regular and chaotic [1, 2]. The chaotic character of quantum systems manifests itself in different ways [3]. The evidence of quantum chaos in statistical properties of energy spectra of channeling electrons had been demonstrated in [4]. In the present report we demonstrate qualitative difference between regular and chaotic cases in individual quantum states, that is in morphology of stationary wave functions for electron channeling in the field of a single [110] atomic string of silicon crystal and a pair of neighboring strings. This research is financed by the grant of Russian Science Foundation (project 15-12-10019). 1. A.I. Akhiezer, N.F. Shul’ga High-Energy Electrodynamics in Matter, Gordon and Breach, Amsterdam, 1996. 2. A.I. Akhiezer, N.F. Shul’ga, V.I. Truten’, A.A. Grinenko, V.V. Syshchenko // Physics-Uspekhi, 38 (1995) 1119. 3. M.C. Gutzwiller, Chaos in Classical and Quantum Mechanics, Springer-Verlag, New York, 1990. 4. N.F. Shul’ga, V.V. Syshchenko, V.S. Neryabova, A.Yu. Isupov // Journal of Physics: Conference Series, 517 (2014) 012030.

Author

Prof. Nikolai Shul'ga (NSC "KIPT", Kharkov, Ukraine)

Co-authors

Dr Alexander Isupov (Laboratory of High Energy Physics, Joint Institute for Nuclear Research, Dubna, Russian Federation) Dr Arthur Tarnovsky (Belgorod National Research University, Belgorod, Russian Federation) Prof. Vladislav Syshchenko (Belgorod National Research University, Belgorod, Russian Federation)

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