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Randomness and collectivity in nuclear structure: Three theoretical puzzles

Vladimir Zelevinsky·Alexander Volya
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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.

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Vladimir Zelevinsky, Alexander Volya. 2001-12-04. Randomness and collectivity in nuclear structure: Three theoretical puzzles. https://doi.org/10.1142/9789812778383_0026

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