Simulation of a hydrogen atom in a laser field using the time-dependent variational principle

Keefer Rowan, Louis Schatzki, Timothy Zaklama, Yasumitsu Suzuki, Kazuyuki Watanabe, and Kálmán Varga
Phys. Rev. E 101, 023313 – Published 25 February 2020

Abstract

The time-dependent variational principle is used to optimize the linear and nonlinear parameters of Gaussian basis functions to solve the time-dependent Schrödinger equation in one and three dimensions for a one-body soft Coulomb potential in a laser field. The accuracy is tested comparing the solution to finite difference grid calculations using several examples. The approach is not limited to one particle systems and the example presented for two electrons demonstrates the potential to tackle larger systems using correlated basis functions.

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  • Received 25 September 2019
  • Revised 6 January 2020
  • Accepted 11 February 2020

DOI:https://doi.org/10.1103/PhysRevE.101.023313

©2020 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Keefer Rowan1, Louis Schatzki1, Timothy Zaklama1, Yasumitsu Suzuki2, Kazuyuki Watanabe2, and Kálmán Varga1

  • 1Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA
  • 2Department of Physics, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku, Tokyo 162-8601, Japan

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Issue

Vol. 101, Iss. 2 — February 2020

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