Shapes of leading tunnelling trajectories for single-electron molecular ionization

Details Shapes of leading tunnelling trajectories for single-electron molecular ionization Shapes of leading tunnelling trajectories for single-electron molecular ionization

2010-10-13

arxiv.org/abs/1010.2668v2

J. Phys. A 44, 275301 (2011)

Physics

Atomic Physics

14 pages, 5 figures

Scientific paper

10.1088/1751-8113/44/27/275301

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.

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