dorsal/arxiv
View SchemaPolynomial scheme for time evolution of open and closed quantum systems
| Authors | Jun Jing, H. R. Ma |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611269 |
| URL | https://arxiv.org/abs/quant-ph/0611269 |
| DOI | 10.1103/PhysRevE.75.016701 |
| Journal | PHYSICAL REVIEW E 75, 016701 (2007) |
Abstract
Based on the generation function of Laguerre polynomials, We proposed a new Laguerre polynomial expansion scheme in the calculation of evolution of time dependent Schr\"odinger equation. Theoretical analysis and numerical test show that the method is equally as good as Chebyshev polynomial expansion method in efficiency and accuracy, with extra merits that no scaling to Hamiltonian is needed and wider suitability.
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"abstract": "Based on the generation function of Laguerre polynomials, We proposed a new\nLaguerre polynomial expansion scheme in the calculation of evolution of time\ndependent Schr\\\"odinger equation. Theoretical analysis and numerical test show\nthat the method is equally as good as Chebyshev polynomial expansion method in\nefficiency and accuracy, with extra merits that no scaling to Hamiltonian is\nneeded and wider suitability.",
"arxiv_id": "quant-ph/0611269",
"authors": [
"Jun Jing",
"H. R. Ma"
],
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"doi": "10.1103/PhysRevE.75.016701",
"journal_ref": "PHYSICAL REVIEW E 75, 016701 (2007)",
"title": "Polynomial scheme for time evolution of open and closed quantum systems",
"url": "https://arxiv.org/abs/quant-ph/0611269"
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