dorsal/arxiv
View SchemaChaotic wave functions and exponential convergence of low-lying energy eigenvalues
| Authors | Mihai Horoi, Alexander Volya, Vladimir Zelevinsky |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9806015 |
| URL | https://arxiv.org/abs/nucl-th/9806015 |
| DOI | 10.1103/PhysRevLett.82.2064 |
| Journal | Phys.Rev.Lett. 82 (1999) 2064-2067 |
Abstract
We suggest that low-lying eigenvalues of realistic quantum many-body hamiltonians, given, as in the nuclear shell model, by large matrices, can be calculated, instead of the full diagonalization, by the diagonalization of small truncated matrices with the exponential extrapolation of the results. We show numerical data confirming this conjecture. We argue that the exponential convergence in an appropriate basis may be a generic feature of complicated ("chaotic") systems where the wave functions are localized in this basis.
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"abstract": "We suggest that low-lying eigenvalues of realistic quantum many-body\nhamiltonians, given, as in the nuclear shell model, by large matrices, can be\ncalculated, instead of the full diagonalization, by the diagonalization of\nsmall truncated matrices with the exponential extrapolation of the results. We\nshow numerical data confirming this conjecture. We argue that the exponential\nconvergence in an appropriate basis may be a generic feature of complicated\n(\"chaotic\") systems where the wave functions are localized in this basis.",
"arxiv_id": "nucl-th/9806015",
"authors": [
"Mihai Horoi",
"Alexander Volya",
"Vladimir Zelevinsky"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevLett.82.2064",
"journal_ref": "Phys.Rev.Lett. 82 (1999) 2064-2067",
"title": "Chaotic wave functions and exponential convergence of low-lying energy eigenvalues",
"url": "https://arxiv.org/abs/nucl-th/9806015"
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