Bounds for Oscillator-Strength Sums from Approximate Quadratures
- 9 November 1970
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 25 (19) , 1317-1320
- https://doi.org/10.1103/physrevlett.25.1317
Abstract
Rigorous upper and lower bounds are prescribed in the form of approximate quadratures for a variety of oscillator-strength sums. The required integration points and weights are determined from continued-fraction approximants and linear programming techniques, employing oscillator-strength moments as inputs to the method. Illustrative bounds are provided in the cases of atomic hydrogen, helium, and neon, for odd-integer sums and for the mean energies associated with stopping, straggling, excitation, and the Lamb shift.Keywords
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