dorsal/arxiv
View SchemaComputing the real-time Green's Functions of large Hamiltonian matrices
| Authors | Toshiaki Iitaka |
|---|---|
| Categories | |
| ArXiv ID | physics/9802021 |
| URL | https://arxiv.org/abs/physics/9802021 |
| Journal | High Performance Computing in RIKEN 1995 (ISSN-1342-3428), 241--247 (1996) |
Abstract
A numerical method is developed for calculating the real time Green's functions of very large sparse Hamiltonian matrices, which exploits the numerical solution of the inhomogeneous time-dependent Schroedinger equation. The method has a clear-cut structure reflecting the most naive definition of the Green's functions, and is very suitable to parallel and vector supercomputers. The effectiveness of the method is illustrated by applying it to simple lattice models. An application of this method to condensed matter physics will be found in H. Tanaka, Phys. PRB 57, 2168 (1998).
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"abstract": "A numerical method is developed for calculating the real time Green\u0027s\nfunctions of very large sparse Hamiltonian matrices, which exploits the\nnumerical solution of the inhomogeneous time-dependent Schroedinger equation.\nThe method has a clear-cut structure reflecting the most naive definition of\nthe Green\u0027s functions, and is very suitable to parallel and vector\nsupercomputers. The effectiveness of the method is illustrated by applying it\nto simple lattice models. An application of this method to condensed matter\nphysics will be found in H. Tanaka, Phys. PRB 57, 2168 (1998).",
"arxiv_id": "physics/9802021",
"authors": [
"Toshiaki Iitaka"
],
"categories": [
"physics.comp-ph",
"cond-mat",
"physics.chem-ph"
],
"journal_ref": "High Performance Computing in RIKEN 1995 (ISSN-1342-3428),\n 241--247 (1996)",
"title": "Computing the real-time Green\u0027s Functions of large Hamiltonian matrices",
"url": "https://arxiv.org/abs/physics/9802021"
},
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