RANDOMNESS and COLLECTIVITY in NUCLEAR STRUCTURE: Three theoretical puzzles

Vladimir Zelevinsky, Er Volya

Published Jan 1, 2001• 2 citations

Abstract

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. 1

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