dorsal/arxiv
View SchemaCanonical form of Hamiltonian matrices
| Authors | A. P. Zuker, L. Waha Ndeuna, F. Nowacki, E. Caurier |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9910003 |
| URL | https://arxiv.org/abs/nucl-th/9910003 |
| DOI | 10.1103/PhysRevC.64.021304 |
| Journal | Phys. Rev. C 64, 021304R, (2001) |
Abstract
On the basis of shell model simulations, it is conjectured that the Lanczos construction at fixed quantum numbers defines---within fluctuations and behaviour very near the origin---smooth canonical matrices whose forms depend on the rank of the Hamiltonian, dimensionality of the vector space, and second and third moments. A framework emerges that amounts to a general Anderson model capable of dealing with ground state properties and strength functions. The smooth forms imply binomial level densities. A simplified approach to canonical thermodynamics is proposed.
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"abstract": "On the basis of shell model simulations, it is conjectured that the Lanczos\nconstruction at fixed quantum numbers defines---within fluctuations and\nbehaviour very near the origin---smooth canonical matrices whose forms depend\non the rank of the Hamiltonian, dimensionality of the vector space, and second\nand third moments. A framework emerges that amounts to a general Anderson model\ncapable of dealing with ground state properties and strength functions. The\nsmooth forms imply binomial level densities. A simplified approach to canonical\nthermodynamics is proposed.",
"arxiv_id": "nucl-th/9910003",
"authors": [
"A. P. Zuker",
"L. Waha Ndeuna",
"F. Nowacki",
"E. Caurier"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.64.021304",
"journal_ref": "Phys. Rev. C 64, 021304R, (2001)",
"title": "Canonical form of Hamiltonian matrices",
"url": "https://arxiv.org/abs/nucl-th/9910003"
},
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