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We explore the influence of external perturbations on the energy levels of aHamiltonian drawn at random from the Gaussian unitary distribution of Hermitianmatrices. By deriving the joint distribution function of eigenvalues, we obtainthe (n,m)-point parametric correlation function of the initial and finaldensity of states for perturbations of arbitrary rank and strength. A furthergeneralization of these results allows for the incorporation of short-rangespatial correlations in diffusive as well as ballistic chaotic structures.Comment: 4 pages, 1 figur

Parametric Spectral Correlations in Disordered and Chaotic Structures