The Effect of Evanescent Modes and Chaos on Deterministic Scattering in Electron Waveguides
Abstract
Statistical properties of Wigner delay times and the effect of evanescent modes on the deterministic scattering of an electron matter wave from a classically chaotic 2-d electron waveguide are studied for the case of 2, 6, and 16 propagating modes. Deterministic reaction matrix theory for this system is generalized to include the effect of evanescent modes on the scattering process. Inclusion of evanescent modes can change the positions of resonance poles in the complex energy plane and can delay electron scattering, particularly at energies where new channels open. The statistical properties of the Wigner delay times for the deterministic scattering process are compared to the predictions of random reaction matrix theory.
Keywords
Cite
@article{arxiv.nlin/0012027,
title = {The Effect of Evanescent Modes and Chaos on Deterministic Scattering in Electron Waveguides},
author = {G. B. Akguc and L. E. Reichl},
journal= {arXiv preprint arXiv:nlin/0012027},
year = {2009}
}
Comments
28 pages, 8 ps 4 jpg formatted figures