标题： 高频率超强激光场中稳定多电荷原子离子的相对论修正维数缩放处理 显示英文标题

标题： Dimensional Scaling Treatment with Relativistic Corrections for Stable Multiply Charged Atomic Ions in High-Frequency Super-Intense Laser Fields

摘要： 我们提出一个理论框架，用于描述多电荷原子离子，它们在超强激光场中的稳定性，并且也考虑了相对论效应引起的系统修正。 对系统：H，H$^{-}$，H$^{2-}$，He，He$^{-}$，He$^{2-}$，He$^{3-}$在超强激光场中的相对论修正进行了维度缩放计算。 还完成了三维自洽场计算以验证维度缩放的量。 通过上述方法展示了系统通过发展多个孤立的高势能区域从而形成高电子密度节点来稳定结合“额外”电子的能力。 这些节点彼此之间的距离足够远，以最小化电子间的排斥力，同时仍提供足够的吸引力以将多余的电子束缚到轨道中。 我们发现，即使考虑到相对论因素，这些物种在场中仍然稳定结合。 还发现，在激光场限制下对系统进行维度缩放计算比支持性的D=3 SCF方法要简单得多且成本更低。 维度缩放方法是通用的，可以扩展以包括相对论修正，以描述简单分子系统在超强激光场中的稳定性。 显示英文摘要

摘要： We present a theoretical framework which describes multiply-charged atomic ions, their stability within super-intense laser fields,also lay corrections to the systems due to relativistic effects. Dimensional scaling calculations with relativistic corrections for systems: H, H$^{-}$, H$^{2-}$, He, He$^{-}$, He$^{2-}$, He$^{3-}$ within super-intense laser fields were completed. Also completed were three-dimensional self consistent field calculations to verify the dimensionally scaled quantities. With the aforementioned methods the system's ability to stably bind 'additional' electrons through the development of multiple isolated regions of high potential energy leading to nodes of high electron density is shown. These nodes are spaced far enough from each other to minimized the electronic repulsion of the electrons, while still providing adequate enough attraction so as to bind the excess elections into orbitals. We have found that even with relativistic considerations these species are stably bound within the field. It was also found that performing the dimensional scaling calculations for systems within the confines of laser fields to be a much simpler and more cost-effective method than the supporting D=3 SCF method. The dimensional scaling method is general and can be extended to include relativistic corrections to describe the stability of simple molecular systems in super-intense laser fields.