Title: Correlations in eigenfunctions of quantum chaotic systems with sparse Hamiltonian matrices,
Abstract: In most realistic models for quantum chaotic systems, the Hamiltonian
matrices in unperturbed bases have a sparse structure. We study correlations in
eigenfunctions of such systems and derive explicit expressions for some of the
correlation functions with respect to energy. The analytical results are tested
in several models by numerical simulations. An application is given for a
relation between transition probabilities.