论文标题
非相关性狄拉克方程:应用高电荷氢离子的照片电离
A non-relativistic Dirac equation: An application to photo ionization of highly charged hydrogen-like ions
论文作者
论文摘要
我们通过激光脉冲研究相对性在氢样离子的照片电离中的作用。对于氢,激光的波长位于弱紫罗兰区域。对于较高的核电荷,激光参数的缩放方式是使偶极子近似中的时间依赖性schr {Ö} dinger方程无关。这些高电荷离子的电离电位通过相对论效应强烈改变。在较早的工作中,Ivanova等人,物理学。修订版A {\ bf 98},063402(2018),这证明了这是如何解释对电离概率的大多数相对论校正的。在这里,我们调查在多大程度上剩余的差异可以归因于强大外部场引起的相对论效应。为此,我们解决了schr {Ö} dinger和dirac方程的半偏见公式。前者是由于外部激光场导致的惯性增加的,而后者则具有非相互作用的相互作用项。
We investigate the role of relativity in photo ionization of hydrogen-like ions by a laser pulse. For hydrogen, the wavelengths of the laser resides in the weakly ultra violet region. For higher nuclear charges, the laser parameters are scaled in a manner which renders the time-dependent Schr{ö}dinger equation in the dipole approximation independent of nuclear charge. The ionization potentials of these highly charged ions are strongly modified by relativistic effects. In an earlier work, Ivanova et al., Phys. Rev. A {\bf 98}, 063402 (2018), it is demonstrated how this explains most of the relativistic correction to the ionization probability. Here we investigate to what extent remaining discrepancies can be attributed to relativistic effects stemming from the strong external field. To this end, we solve semi-relativistic formulations of both the Schr{ö}dinger and the Dirac equations; the former accounts for increased inertia due to the external laser field, while the latter features a non-relativistic interaction term.