Structure of the channeling electrons wave functions under dynamical chaos conditions

TL;DR

This paper investigates the wave functions of fast electrons in silicon crystals under conditions of classical regularity and chaos, revealing nodal structures consistent with quantum chaos theory.

Contribution

It provides a numerical analysis of electron wave functions in channeling conditions, comparing integrable and chaotic classical dynamics, and confirms quantum chaos predictions.

Findings

Wave functions in chaotic regimes show complex nodal patterns.

Nodal structures align with quantum chaos theory.

Results support the link between classical chaos and quantum wave function behavior.

Abstract

The stationary wave functions of fast electrons axially channeling in the silicon crystal near [110] direction have been found numerically for integrable and non-integrable cases, for which the classical motion is regular and chaotic, respectively. The nodal structure of the wave functions in the quasi-classical region, where the energy levels density is high, is agreed with quantum chaos theory predictions.