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Cummings, A., 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.
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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 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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