1995/09/30 by Y. V. Fyodorov, Yan V. Fyodorov, O. A. Chubykalo +4 · 8 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Crossover #Density of states #Diagonal #Eigenvalues and eigenvectors #Geometry #Local density of states #Mathematics #Nuclear physics research studies #Physics #Probability density function #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Random matrix #Spectral density #Statistical physics #Statistics #Wigner distribution function #chao-dyn #nlin.CD
paper · pdf · doi:10.1103/physrevlett.76.1603
published as Phys.Rev.Lett. v.76 (1996), 1603 · Misprints are corrected and stylistic changes are made. To be published in PRL
arxiv created 1996/01/11 · openalex publication_date 1996/03/04 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Random banded matrices with linearly increasing diagonal elements are recently considered as an attractive model for complex nuclei and atoms. Apart from early papers by Wigner there were no analytical studies on the subject. In this Letter we present analytical and numerical results for local spectral density of states (LDOS) for a more general case of matrices with a sparsity inside the band. The crossover from the semicircle form of LDOS to that given by the Breit-Wigner formula is studied in detail.