Shapes of leading tunnelling trajectories for single-electron molecular ionization
Atomic Physics
2015-03-17 v2 Mathematical Physics
math.MP
Abstract
Based on the geometrical approach to tunnelling by P.D. Hislop and I.M. Sigal [Memoir. AMS 78, No. 399 (1989)], we introduce the concept of a leading tunnelling trajectory. It is then proven that leading tunnelling trajectories for single-active-electron models of molecular tunnelling ionization (i.e., theories where a molecular potential is modelled by a single-electron multi-centre potential) are linear in the case of short range interactions and "almost" linear in the case of long range interactions. The results are presented on both the formal and physically intuitive levels. Physical implications of the obtained results are discussed.
Keywords
Cite
@article{arxiv.1010.2668,
title = {Shapes of leading tunnelling trajectories for single-electron molecular ionization},
author = {Denys I. Bondar and Wing-Ki Liu},
journal= {arXiv preprint arXiv:1010.2668},
year = {2015}
}
Comments
14 pages, 5 figures