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Updated: Dec 26, 2025

Direct Imaging of Laser-driven Ultrafast Molecular Rotation
Published on: February 4, 2017
Simulation of a hydrogen atom in a laser field using the time-dependent variational principle
Keefer Rowan1, Louis Schatzki1, Timothy Zaklama1
1Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA.
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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