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We investigate the role of relativity in photo ionization of hydrogen-likeions by a laser pulse. For hydrogen, the wavelengths of the laser resides inthe weakly ultra violet region. For higher nuclear charges, the laserparameters are scaled in a manner which renders the time-dependentSchr{\"o}dinger equation in the dipole approximation independent of nuclearcharge. The ionization potentials of these highly charged ions are stronglymodified by relativistic effects. In an earlier work, Ivanova et al., Phys.Rev. A {\bf 98}, 063402 (2018), it is demonstrated how this explains most ofthe relativistic correction to the ionization probability. Here we investigateto what extent remaining discrepancies can be attributed to relativisticeffects stemming from the strong external field. To this end, we solvesemi-relativistic formulations of both the Schr{\"o}dinger and the Diracequations; the former accounts for increased inertia due to the external laserfield, while the latter features a non-relativistic interaction term.

A non-relativistic Dirac equation: An application to photo ionization of highly charged hydrogen-like ions