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arXiv 1010.2668physics.atom-phmath-phmath.MP
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单电子分子电离的超前隧穿轨道的计算

Shapes of leading tunnelling trajectories for single-electron molecular ionization

Denys I. Bondar, Wing-Ki Liu

摘要:

基于P. D.希斯洛普和我《回忆录》(Memoir. AMS 78,No.399(1989)]中,我们引入了超前隧道掘进轨迹的概念。然后证明了分子隧穿电离的单活性电子模型的领先隧穿轨迹(即,其中分子势由单电子多中心势建模的理论)在短程相互作用的情况下是线性的,而在长程相互作用的情况下是“几乎”线性的。结果提出了正式和物理直观的水平。所获得的结果的物理意义进行了讨论。

英文摘要:

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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