Some Properties of Level Spacing Distributions

Abstract

Recently new ensembles of random matrices have been introduced and treated numerically [1, 2]. They take into account the correlations between the elements of the NXN hamiltonian matrix induced by the Pauli principle and the two-body character of the interaction, when dealing with a system (a, b, ...) ⁿ_j of n identical fermions distributed among a set a, b,... of degenerate single particle orbits and of total angular momentum J. They will be called two-body random hamiltonian ensembles (TBRE).

Work supported by the Comisión Nacional de Energía Nuclear, México.