Chaos and localization in the wave functions of complex atoms Nd I, Pm I, and Sm I
- Physical Research Laboratory, Navarangpura, Ahmedabad 380 009 (India)
Wave functions of complex lanthanide atoms Nd I, Pm I, and Sm I, obtained via multiconfiguration Dirac-Fock method, are analyzed for density of states in terms of partial densities, strength functions [F{sub k}(E)], number of principal components [{xi}{sub 2}(E)], and occupancies (<n{sub {alpha}}>{sup E}) of single-particle orbits using embedded Gaussian orthogonal ensemble of one plus two-body random matrix ensembles [EGOE(1+2)]. It is seen that density of states are in general multi-modal, F{sub k}(E)'s exhibit variations as function of the basis states energy and {xi}{sub 2}(E)'s show structures arising from localized states. The sources of these departures from EGOE(1+2) are investigated by examining the partial densities, correlations between F{sub k}(E), {xi}{sub 2}(E), and <n{sub {alpha}}>{sup E} and also by studying the structure of the Hamiltonian matrices. These studies point out the operation of EGOE(1+2) but at the same time suggest that weak admixing between well separated configurations should be incorporated into EGOE(1+2) for more quantitative description of chaos and localization in Nd I, Pm I, and Sm I.
- OSTI ID:
- 20653298
- Journal Information:
- Physical Review. A, Vol. 71, Issue 4; Other Information: DOI: 10.1103/PhysRevA.71.042504; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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