Matrix Inverse Free Method for Solving Quantum Electron Dynamics on Unstructured Grid

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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.
21 pages, 4 figures, in 1 pdf file

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Computational Physics, General Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/84735

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/physics/0206010
 http://arxiv.org/abs/physics/0206010

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arXiv