Randomness and collectivity in nuclear structure: Three theoretical puzzles

Details Randomness and collectivity in nuclear structure: Three theoretical puzzles Randomness and collectivity in nuclear structure: Three theoretical puzzles

2001-12-04

arxiv.org/abs/nucl-th/0112014v1

Proceedings of the 7th International Spring Seminar on Nuclear Physics, Maiori, Italy, 2001, World Scientific, Singapore

Physics

Nuclear Physics

Nuclear Theory

12 pages, 4 figures

Scientific paper

We show and interpret three examples of nontrivial results obtained in numerical simulations of many-body systems: exponential convergence of low-lying energy eigenvalues in the process of progressive truncation of huge shell-model matrices, apparently ordered spectra generated by random interactions, and regular behavior of complex many-body energies in a system with single-particle orbitals in continuum. The possible practical applications and new approaches are suggested.

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