Development of a general time-dependent absorbing potential for the constrained adiabatic trajectory method
Abstract
The Constrained Adiabatic Trajectory Method (CATM) allows us to compute solutions of the time-dependent Schr\"odinger equation using the Floquet formalism and Fourier decomposition, using matrix manipulation within a non-orthogonal basis set, provided that suitable constraints can be applied to the initial conditions for the Floquet eigenstate. A general form is derived for the inherent absorbing potential, which can reproduce any dispersed boundary conditions. This new artificial potential acting over an additional time interval transforms any wavefunction into a desired state, with an error involving exponentially decreasing factors. Thus a CATM propagation can be separated into several steps to limit the size of the required Fourier basis. This approach is illustrated by some calculations for the molecular ion illuminated by a laser pulse.
Cite
@article{arxiv.1105.3916,
title = {Development of a general time-dependent absorbing potential for the constrained adiabatic trajectory method},
author = {Arnaud Leclerc and Georges Jolicard and John P. Killingbeck},
journal= {arXiv preprint arXiv:1105.3916},
year = {2011}
}
Comments
8 pages, 7 figures