dorsal/arxiv
View SchemaChaos and localization in the wavefunctions of complex atoms NdI, PmI and SmI
| Authors | Dilip Angom, V. K. B. Kota |
|---|---|
| Categories | |
| ArXiv ID | physics/0412021 |
| URL | https://arxiv.org/abs/physics/0412021 |
| DOI | 10.1103/PhysRevA.71.042504 |
| Journal | Phys. Rev. A 71, 042504 (2005). |
Abstract
Wavefunctions of complex lanthanide atoms NdI, PmI and SmI, obtained via multi-configuration Dirac-Fock method, are analyzed for density of states in terms of partial densities, strength functions ($F_k(E)$), number of principal components ($\xi_2(E)$) and occupancies ($\lan n_\alpha \ran^E$) 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, $F_k(E)$'s exhibit variations as function of the basis states energy and $\xi_2(E)$'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 $F_k(E)$, $\xi_2(E)$ and $\lan n_\alpha \ran^E$ 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 NdI, PmI and SmI.
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"abstract": "Wavefunctions of complex lanthanide atoms NdI, PmI and SmI, obtained via\nmulti-configuration Dirac-Fock method, are analyzed for density of states in\nterms of partial densities, strength functions ($F_k(E)$), number of principal\ncomponents ($\\xi_2(E)$) and occupancies ($\\lan n_\\alpha \\ran^E$) of single\nparticle orbits using embedded Gaussian orthogonal ensemble of one plus\ntwo-body random matrix ensembles [EGOE(1+2)]. It is seen that density of states\nare in general multi-modal, $F_k(E)$\u0027s exhibit variations as function of the\nbasis states energy and $\\xi_2(E)$\u0027s show structures arising from localized\nstates. The sources of these departures from EGOE(1+2) are investigated by\nexamining the partial densities, correlations between $F_k(E)$, $\\xi_2(E)$ and\n$\\lan n_\\alpha \\ran^E$ and also by studying the structure of the Hamiltonian\nmatrices. These studies point out the operation of EGOE(1+2) but at the same\ntime suggest that weak admixing between well separated configurations should be\nincorporated into EGOE(1+2) for more quantitative description of chaos and\nlocalization in NdI, PmI and SmI.",
"arxiv_id": "physics/0412021",
"authors": [
"Dilip Angom",
"V. K. B. Kota"
],
"categories": [
"physics.atom-ph",
"physics.gen-ph"
],
"doi": "10.1103/PhysRevA.71.042504",
"journal_ref": "Phys. Rev. A 71, 042504 (2005).",
"title": "Chaos and localization in the wavefunctions of complex atoms NdI, PmI and SmI",
"url": "https://arxiv.org/abs/physics/0412021"
},
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