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

摘要

Using the relativistic configuration interaction Hartree-Fock method the Hamiltonian matrices of Cc I, J = 4(+/-), and Pr I, J = 11/2(+/-), are studied. These matrices can be characterized as sparse, banded matrices, with a leading diagonal. Diagonalization of the Hamiltonian results in a set of energy eigenvalues and corresponding eigenvectors and the purpose of this investigation will be to characterize the Hamiltonian matrices and coupling matrices of Cc I and Pr I, for both Is and jj coupling representations, using various statistical predictions of Random Matrix Theory. [References: 21]