Evaluation of the "mean frequency" technique

Edward M. Gaddy and Howard R. Reiss
Phys. Rev. A 13, 1801 – Published 1 May 1976

Abstract

The "mean frequency" technique, a simple procedure introduced by Bebb and Gold for the approximate evaluation of sums occurring in high-order perturbation theory, represents a useful approximation method. Its predictions compare favorably to exact results obtained by Gontier and Trahin for multiphoton bound-bound transitions in hydrogen. However, the technique can be in error if the "mean frequency" lies near certain integers.

  • Received 5 January 1976

DOI:https://doi.org/10.1103/PhysRevA.13.1801

©1976 American Physical Society

Authors & Affiliations

Edward M. Gaddy

  • Goddard Space Flight Center, National Aeronautics and Space Administration, Greenbelt, Maryland 20771
  • Physics Department, The American University, Washington, D. C. 20016

Howard R. Reiss*

  • Department of Physics, University of Arizona, Tucson, Arizona 85721

  • *Permanent address: Physics Dept., The American University, Washington, D. C. 20016.

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Vol. 13, Iss. 5 — May 1976

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