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Scars of symmetries in complex atomic spectra

1992; American Physical Society; Volume: 69; Issue: 7 Linguagem: Inglês

10.1103/physrevlett.69.1038

1092-0145

J. Bauche, C. Bauche-Arnoult,

Quantum optics and atomic interactions

In transition arrays of complex atomic spectra, some well-defined subsets of lines bear the signatures, called scars, of their vanishing in one or several pure couplings. This is shown numerically, by means of line-by-line calculations, in the cases of the ${\mathit{d}}^{4\mathrm{\ensuremath{-}}}$${\mathit{d}}^{3}$p and ${\mathit{d}}^{8\mathrm{\ensuremath{-}}}$${\mathit{d}}^{7}$p transition arrays. It is also proved in a general way, using statistical distributions and the von Neumann--Wigner theorem.