https://doi.org/10.1140/epjp/s13360-024-04989-4
Regular Article
Parabolic wave packets for time propagation of atomic hydrogen in an electric field of short laser pulses
1
School of Fundamental and Computer Sciences, Pacific National University, 680035, Khabarovsk, Russia
2
CNRS, LPCT, Université de Lorraine, 57000, Metz, France
3
Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, 119991, Moscow, Russia
4
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Moscow region, Russia
5
Department of Nuclear Physics and Quantum Theory of Collisions, Faculty of Physics, Lomonosov Moscow State University, 119991, Moscow, Russia
Received:
10
January
2024
Accepted:
9
February
2024
Published online:
29
February
2024
We propose parabolic wave packets (PWP) as trial functions to solve the time-dependent Schrödinger equation (TDSE) for atomic hydrogen in a short laser pulse. Within the framework of the time-dependent variational principle, the TDSE is transformed into a set of first-order differential equations for the parameters of the wave packets. Thanks to the asymptotic properties of the PWP, the ionization amplitude is expressed in closed form in terms of the wave packets' parameters. The robustness of the method is first validated with a test model with analytical solution and then applied to the ionization process of atomic hydrogen in half- and few-cycle laser pulses. The results compare very well with those obtained with other approaches.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.