MURAL - Maynooth University Research Archive Library



    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.


    Cummings, A. and O'Sullivan, G. and Heffernan, Daniel (2001) 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. Journal of Physics B: Atomic, Molecular and Optical Physics, 34 (17). pp. 3407-3446.

    [img]
    Preview
    Download (2MB) | Preview


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    Abstract

    Using the relativistic configuration interaction Hartree–Fock method the Hamiltonian matrices of Ce 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 Ce I and Pr I, for both ls and jj coupling representations, using various statistical predictions of Random Matrix Theory.

    Item Type: Article
    Keywords: quantum chaos; rare-earth elements; Hamiltonian matrices; coupling matrices; Ce I; Pr I; statistical predictions; Random Matrix Theory;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 9707
    Depositing User: Prof. Daniel Heffernan
    Date Deposited: 20 Jul 2018 09:57
    Journal or Publication Title: Journal of Physics B: Atomic, Molecular and Optical Physics
    Publisher: IOP Science
    Refereed: Yes
    URI:

      Repository Staff Only(login required)

      View Item Item control page

      Downloads

      Downloads per month over past year