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• W2110255786 abstract "Using a configuration-interaction approach, we study statistics of the dipole matrix elements $(E1$ amplitudes) between the 14 lower states with ${J}^{ensuremath{pi}}{=4}^{ensuremath{-}}$ and 21st to 100th even states with $J=4$ in the Ce atom (1120 lines). We show that the distribution of the matrix elements is close to Gaussian, although the width of the Gaussian distribution, i.e., the root-mean-square matrix element, changes with the excitation energy. The corresponding line strengths are distributed according to the Porter-Thomas law which describes statistics of transition strengths between chaotic states in compound nuclei. We also show how to use a statistical theory to calculate mean-squared values of the matrix elements or transition amplitudes between chaotic many-body states. We draw some support for our conclusions from the analysis of the 228 experimental line strengths in Ce [J. Opt. Soc. Am. 8, 1545 (1991)], although direct comparison with the calculations is impeded by incompleteness of the experimental data. Nevertheless, the statistics observed give evidence that highly excited many-electron states in atoms are indeed chaotic." @default.
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• W2110255786 creator A5068107437 @default.
• W2110255786 date "1998-07-01" @default.
• W2110255786 modified "2023-09-23" @default.
• W2110255786 title "Statistics of electromagnetic transitions as a signature of chaos in many-electron atoms" @default.
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• W2110255786 doi "https://doi.org/10.1103/physreva.58.230" @default.
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