Statistics of electromagnetic transitions as a signature of chaos in many-electron atoms

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 58, Issue 1, 1998, Pages 230-237

  Flambaum, V V ^a   Gribakina, A A ^a   Gribakin, G F ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4244187870     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.58.230     Document Type: Article

References (32)

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24. If the number of active electrons in the system is more than two, the Hamiltonian matrix (Formula presented) appears to be sparse, i.e., there is a certain fraction of zero off-diagonal matrix elements in it (only the basis states that differ by the positions of no more than two electrons can be coupled by the two-body Coulomb interaction). In this case, one should compare the magnitude of (Formula presented) with the mean “distance” (Formula presented) between the basis states directly coupled by nonzero (Formula presented) See, e.g., P. Jacquod and D. L. Shepelyansky, Phys. Rev. Lett. 79, 1837 (1997); PRLTAO
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32. The normalization integral (Formula presented) for this set of values is equal to 0.902, as this fit, just like the pure PT fit, evidently fails to describe the large number of line strengths greater than 15 a.u. observed in Ref. 15.