Signatures of quantum chaos in rare-earth elements: I. Characterization ofthe Hamiltonian matrices and coupling matrices of Ce I and Pr I using the statistical predictions of Random Matrix Theory

Using the relativistic configuration interaction Hartree-Fock method the Ha miltonian matrices of Cc I, J = 4(+/-), and Pr I, J = 11/2(+/-), are studie d. These matrices can be characterized as sparse, banded matrices, with a l eading diagonal. Diagonalization of the Hamiltonian results in a set of ene rgy eigenvalues and corresponding eigenvectors and the purpose of this inve stigation will be to characterize the Hamiltonian matrices and coupling mat rices of Cc I and Pr I, for both Is and jj coupling representations, using various statistical predictions of Random Matrix Theory.