Introduction to the Supersymmetry Method for the Gaussian Random-Matrix Ensembles
Abstract
Description
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.
36 pages, LaTeX, No figures. New address for correspondence. Some misprints corrected and background material added.
36 pages, LaTeX, No figures. New address for correspondence. Some misprints corrected and background material added.