Two-Body Random Ensembles: From Nuclear Spectra to Random Polynomials
Nuclear Theory
2008-11-26 v1 Chaotic Dynamics
Abstract
The two-body random ensemble (TBRE) for a many-body bosonic theory is mapped to a problem of random polynomials on the unit interval. In this way one can understand the predominance of 0+ ground states, and analytic expressions can be derived for distributions of lowest eigenvalues, energy gaps, density of states and so forth. Recently studied nuclear spectroscopic properties are addressed.
Cite
@article{arxiv.nucl-th/0009076,
title = {Two-Body Random Ensembles: From Nuclear Spectra to Random Polynomials},
author = {Dimitri Kusnezov},
journal= {arXiv preprint arXiv:nucl-th/0009076},
year = {2008}
}
Comments
8 pages, 4 figures. To appear in Physical Review Letters