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Two-Body Random Ensembles: From Nuclear Spectra to Random Polynomials

Dimitri Kusnezov
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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.

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Dimitri Kusnezov. 2000-09-26. Two-Body Random Ensembles: From Nuclear Spectra to Random Polynomials. https://doi.org/10.1103/physrevlett.85.3773

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