2002/12/23 by P. Chau Huu-Tai, A. Frank, N. A. Smirnova +1 · 2 citations
Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Quantum chaos and dynamical systems #Stochastic processes and statistical mechanics #nucl-th
paper · pdf · doi:10.1103/physrevc.66.061302
published as Phys.Rev. C66 (2002) 061302
openalex publication_date 2002/12/23 · arxiv created 2003/01/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is argued that spectral features of quantal systems with random interactions can be given a geometric interpretation. This conjecture is investigated in the context of two simple models: a system of randomly interacting d bosons and one of randomly interacting fermions in a j=(7)/(2) shell. In both examples the probability for a given state to become the ground state is shown to be related to a geometric property of a polygon or polyhedron which is entirely determined by particle number, shell size, and symmetry character of the states. The extensions to more general situations are discussed.