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Phys. Rev. A 57, 4994–4997 (1998)

General formulation of the semirelativistic approach to atomic sum rules

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S. M. Cohen and P. T. Leung
Department of Physics, Portland State University, P.O. Box 751, Portland, Oregon 97207-0751

Received 3 November 1997; revised 16 January 1998; published in the issue dated June 1998

A general scheme is presented for obtaining systematic relativistic corrections to quantum-mechanical sum rules for various calculations in atomic physics. The single-particle picture and the Foldy-Wouthuysen transformation [Phys. Rev. 78, 29 (1950)] are adopted to derive such corrections. Results are obtained for the “generalized Bethe sums,” which include all higher moments of the energy transfer, and explicit results are given to the lowest order of relativistic corrections.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.57.4994
DOI:
10.1103/PhysRevA.57.4994
PACS:
34.50.Bw, 31.30.Jv, 11.55.Hx