Matrix Inverse Free Method for Solving Quantum Electron Dynamics on Unstructured Grid
Computational Physics
2007-05-23 v1 General Physics
Abstract
A matrix inverse free method to solve time-dependent Schrodinger equation is presented. The method is not subject to form of Hamiltonian and adopting real space grid system such as structured and unstructured grid, and achieves the order N algorithm even if we adopt unstructured grid systems to adjust complex regions. We have demonstrated some error evaluation problems that have exact solution and application in which it has non-Schrodinger type Hamiltonian, and we have successfully simulated the time-evolution of wave function for all of the case.
Cite
@article{arxiv.physics/0206010,
title = {Matrix Inverse Free Method for Solving Quantum Electron Dynamics on Unstructured Grid},
author = {Katsuhiro Watanabe and Akihito Kikuchi},
journal= {arXiv preprint arXiv:physics/0206010},
year = {2007}
}
Comments
21 pages, 4 figures, in 1 pdf file