Ensemble average of an arbitrary number of pairs of different eigenvalues using Grassmann integration
type: Item
instance of: scholarly article
title: Ensemble average of an arbitrary number of pairs of different eigenvalues using Grassmann integration
zbMATH Open document ID: 0602.58047
DOI: 10.1007/BF01211071
author: Nazakat Ullah
published in: Communications in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: An identity satisfied by the eigenvalues of a real-symmetric matrix and an integral representation of a determinant using Grassmann variables are used to show that the ensemble average of S different pairs of eigenvalues of a GOE is given by \((-1)^ S2^{-S}\pi^{-1/2}\Gamma (S+)\).
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 58J90
zbMATH DE Number: 3971841
zbMATH Keywords: eigenvalues of a real-symmetric matrix
zbMATH Keywords: integral representation of a determinant
MaRDI profile type: Publication
cites work: Characteristic vectors of bordered matrices with infinite dimensions. II
cites work: Q4221096
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description: scientific article; zbMATH DE number 3971841