dorsal/arxiv
View SchemaMatrix Inverse Free Method for Solving Quantum Electron Dynamics on Unstructured Grid
| Authors | Katsuhiro Watanabe, Akihito Kikuchi |
|---|---|
| Categories | |
| ArXiv ID | physics/0206010 |
| URL | https://arxiv.org/abs/physics/0206010 |
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.
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"date_created": "2026-03-02T18:00:39.856000Z",
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"abstract": "A matrix inverse free method to solve time-dependent Schrodinger equation is\npresented. The method is not subject to form of Hamiltonian and adopting real\nspace grid system such as structured and unstructured grid, and achieves the\norder N algorithm even if we adopt unstructured grid systems to adjust complex\nregions. We have demonstrated some error evaluation problems that have exact\nsolution and application in which it has non-Schrodinger type Hamiltonian, and\nwe have successfully simulated the time-evolution of wave function for all of\nthe case.",
"arxiv_id": "physics/0206010",
"authors": [
"Katsuhiro Watanabe",
"Akihito Kikuchi"
],
"categories": [
"physics.comp-ph",
"physics.gen-ph"
],
"title": "Matrix Inverse Free Method for Solving Quantum Electron Dynamics on Unstructured Grid",
"url": "https://arxiv.org/abs/physics/0206010"
},
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