title: Geometric chaoticity leads to ordered spectra for randomly interacting fermions.
abstract: A rotationally invariant random interaction ensemble was realized in a single- j fermion model. A statistical approach reveals the random coupling of individual angular momenta as a source for the empirically known dominance of ground states with zero and maximum spin. The interpretation is supported by the structure of the ground state wave functions.
authors.affiliation: Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824-1321, USA.
authors.forename: D
authors.initials: D
authors.lastname: Mulhall
authors.forename: A
authors.initials: A
authors.lastname: Volya
authors.forename: V
authors.initials: V
authors.lastname: Zelevinsky