Scaling relations of the time-dependent Dirac equation describing multiphoton ionization of hydrogenlike ions

I. V. Ivanova, V. M. Shabaev, Dmitry A. Telnov, and Alejandro Saenz
Phys. Rev. A 98, 063402 – Published 3 December 2018

Abstract

Approximate scaling laws with respect to the nuclear charge are introduced for the time-dependent Dirac equation describing hydrogenlike ions subject to laser fields within the dipole approximation. In particular, scaling relations with respect to the laser wavelengths and peak intensities are discussed. The validity of the scaling relations is investigated for two-, three-, four-, and five-photon ionization of hydrogenlike ions with nuclear charges ranging from Z=1 to 92 by solving the corresponding time-dependent Dirac equations adopting the properly scaled laser parameters. Good agreement is found and thus the approximate scaling relations are shown to capture the dominant effect of the response of highly charged ions to intense laser fields compared to that of atomic hydrogen. On the other hand, the remaining differences are shown to allow for the identification and quantification of additional, purely relativistic effects in light-matter interaction.

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  • Received 17 October 2018

DOI:https://doi.org/10.1103/PhysRevA.98.063402

©2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

I. V. Ivanova1,2,*, V. M. Shabaev1, Dmitry A. Telnov1, and Alejandro Saenz3

  • 1Department of Physics, St. Petersburg State University, 7-9 Universitetskaya Naberezhnaya, 199034 St. Petersburg, Russia
  • 2NRC “Kurchatov Institute,” 1 Akademika Kurchatova Pl., 123182 Moscow, Russia
  • 3Institut für Physik, Humboldt-Universität zu Berlin, Newtonstraße 15, 12489 Berlin, Germany

  • *irina.ivanova@spbu.ru

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Issue

Vol. 98, Iss. 6 — December 2018

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