Time scaling with efficient time-propagation techniques for atoms and molecules in pulsed radiation fields

Hamido, Aliou and Eiglsperger, Johannes and Madronero, Javier and Mota-Furtado, Francisca and O'Mahony, Patrick and Frapiccini, Ana Laura and Piraux, Bernard (2011) Time scaling with efficient time-propagation techniques for atoms and molecules in pulsed radiation fields. PHYSICAL REVIEW A, 84 (1): 013422. ISSN 1050-2947, 1094-1622

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Abstract

We present an ab initio approach to solving the time-dependent Schrodinger equation to treat electron-and photon-impact multiple ionization of atoms or molecules. It combines the already known time-scaled coordinate method with a high-order time propagator based on a predictor-corrector scheme. In order to exploit in an optimal way the main advantage of the time-scaled coordinate method, namely, that the scaled wave packet stays confined and evolves smoothly toward a stationary state, of which the squared modulus is directly proportional to the electron energy spectra in each ionization channel, we show that the scaled bound states should be subtracted from the total scaled wave packet. In addition, our detailed investigations suggest that multiresolution techniques like, for instance, wavelets are the most appropriate ones to represent the scaled wave packet spatially. The approach is illustrated in the case of the interaction of a one-dimensional model atom as well as atomic hydrogen with a strong oscillating field.

Item Type: Article
Uncontrolled Keywords: DEPENDENT SCHRODINGER-EQUATION; RUNGE-KUTTA METHODS; DIFFERENTIAL-EQUATIONS; NUMERICAL-INTEGRATION; LASER; PHYSICS; HELIUM; STIFF;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 05 Jun 2020 05:49
Last Modified: 05 Jun 2020 05:49
URI: https://pred.uni-regensburg.de/id/eprint/20525

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