Eur. Phys. J. D (2017) 71: 93
https://doi.org/10.1140/epjd/e2017-70708-7

Regular Article

Strong field approximation within a Faddeev-like formalism for laser-matter interactions^*

¹ Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Leninskie Gory 1, 119991 Moscow, Russia
² Joint Institute for Nuclear Research, Zholio-Kyuri str. 6, 141980 Dubna, Russia
³ Institute of Condensed Matter and Nanosciences, Université catholique de Louvain, 2 chemin du cyclotron, Box L7.01.07, 1348 Louvain-la-Neuve, Belgium
⁴ Department of Mathematics, Royal Holloway, University of London, Egham, Surrey TW20 0EX, UK

^a e-mail: alexander.galstyan@uclouvain.be

Received: 12 November 2016
Published online: 18 April 2017

Abstract

We consider the interaction of atomic hydrogen with an intense laser field within the strong-field approximation. By using a Faddeev-like formalism, we introduce a new perturbative series in the binding potential of the atom. As a first test of this new approach, we calculate the electron energy spectrum in the very simple case of a photon energy higher than the ionisation potential. We show that by contrast to the standard perturbative series in the binding potential obtained within the strong field approximation, the first terms of the new series converge rapidly towards the results we get by solving the corresponding time-dependent Schrödinger equation.