1994/12/13 by Josef Zuk, Josef A. Zuk, Zuk, Josef A. · 2 citations
Mathematics · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum optics and atomic interactions #Random Matrices and Applications #Stochastic processes and statistical mechanics #cond-mat #hep-th
paper · pdf · doi:10.48550/arxiv.cond-mat/9412060
36 pages, LaTeX, No figures. New address for correspondence. Some misprints corrected and background material added.
openalex publication_date 1994/12/13 · arxiv created 1996/07/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This article is intended to provide a pedagogical introduction to the supersymmetry method for performing ensemble-averaging in Gaussian random-matrix theory. The method is illustrated by a detailed calculation of the simplest non-trivial physical quantity, namely, the second-order correlation in the density of states for two different energies within the spectrum (commonly known as the density-density correlator) for a system described by a random Hamiltonian matrix belonging to the Gaussian unitary ensemble.