Cummings, A. and O'Sullivan, G. and Heffernan, Daniel
(2001)
Signatures of quantum chaos in rareearth
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. 34073446.
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; rareearth 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: 

Use Licence: 
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BYNCSA). Details of this licence are available
here 
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