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Wavefunctions of complex lanthanide atoms NdI, PmI and SmI, obtained viamulti-configuration Dirac-Fock method, are analyzed for density of states interms of partial densities, strength functions ($F_k(E)$), number of principalcomponents ($\xi_2(E)$) and occupancies ($\lan n_\alpha \ran^E$) of singleparticle orbits using embedded Gaussian orthogonal ensemble of one plustwo-body random matrix ensembles [EGOE(1+2)]. It is seen that density of statesare in general multi-modal, $F_k(E)$'s exhibit variations as function of thebasis states energy and $\xi_2(E)$'s show structures arising from localizedstates. The sources of these departures from EGOE(1+2) are investigated byexamining 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 Hamiltonianmatrices. These studies point out the operation of EGOE(1+2) but at the sametime suggest that weak admixing between well separated configurations should beincorporated into EGOE(1+2) for more quantitative description of chaos andlocalization in NdI, PmI and SmI.Comment: There are 9 figure

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

Chaos and localization in the wave functions of complex atoms<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Nd</mml:mi><mml:mspace width="0.2em" /><mml:mn mathsize="small">I</mml:mn></mml:mrow></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Pm</mml:mi><mml:mspace width="0.2em" /><mml:mn mathsize="small">I</mml:mn></mml:mrow></mml:math>, and<mml:math …

Chaos and localization in the wave functions of complex atomsNdI,PmI, and