dorsal/arxiv
View SchemaFast and stable method for simulating quantum electron dynamics
| Authors | Naoki Watanabe, Masaru Tsukada |
|---|---|
| Categories | |
| ArXiv ID | physics/0011068 |
| URL | https://arxiv.org/abs/physics/0011068 |
| DOI | 10.1103/PhysRevE.62.2914 |
| Journal | Physical Review E. vol.62, 2914, (2000) |
Abstract
A fast and stable method is formulated to compute the time evolution of a wavefunction by numerically solving the time-dependent Schr{\"o}dinger equation. This method is a real space/real time evolution method implemented by several computational techniques such as Suzuki's exponential product, Cayley's form, the finite differential method and an operator named adhesive operator. This method conserves the norm of the wavefunction, manages periodic conditions and adaptive mesh refinement technique, and is suitable for vector- and parallel-type supercomputers. Applying this method to some simple electron dynamics, we confirmed the efficiency and accuracy of the method for simulating fast time-dependent quantum phenomena.
{
"annotation_id": "3f04990d-3df3-4597-b41e-59c037d8d342",
"date_created": "2026-03-02T18:00:31.962000Z",
"date_modified": "2026-03-02T18:00:31.962000Z",
"file_hash": "8bc0a3f5b09cb4a012013ee13cfeca027a119b73b2dd73ae014e1a220aea35d4",
"private": false,
"record": {
"abstract": "A fast and stable method is formulated to compute the time evolution of a\nwavefunction by numerically solving the time-dependent Schr{\\\"o}dinger\nequation. This method is a real space/real time evolution method implemented by\nseveral computational techniques such as Suzuki\u0027s exponential product, Cayley\u0027s\nform, the finite differential method and an operator named adhesive operator.\nThis method conserves the norm of the wavefunction, manages periodic conditions\nand adaptive mesh refinement technique, and is suitable for vector- and\nparallel-type supercomputers. Applying this method to some simple electron\ndynamics, we confirmed the efficiency and accuracy of the method for simulating\nfast time-dependent quantum phenomena.",
"arxiv_id": "physics/0011068",
"authors": [
"Naoki Watanabe",
"Masaru Tsukada"
],
"categories": [
"physics.comp-ph",
"physics.atm-clus",
"physics.chem-ph"
],
"doi": "10.1103/PhysRevE.62.2914",
"journal_ref": "Physical Review E. vol.62, 2914, (2000)",
"title": "Fast and stable method for simulating quantum electron dynamics",
"url": "https://arxiv.org/abs/physics/0011068"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "dae1d8ce-6e4e-412d-a082-c3803aaf1f5d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}