Parametric Spectral Correlations in Disordered and Chaotic Structures
Parametric Spectral Correlations in Disordered and Chaotic Structures
We explore the influence of external perturbations on the energy levels of a Hamiltonian drawn at random from the Gaussian unitary distribution of Hermitian matrices. By deriving the joint distribution function of eigenvalues, we obtain the (n,m)-point parametric correlation function of the initial and the final density of states for …