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Proceedings of the Dalgarno Celebratory Symposium: by James F. Babb, Kate Kirby, Hossein Sadeghpour

By James F. Babb, Kate Kirby, Hossein Sadeghpour

"On September 10, 2008, greater than one hundred twenty five buddies, colleagues ... to affix Professor Alex Dalgarno in celebrating his eightieth birthday ... A symposium highlighting Dalgarno's many clinical contributions ..."--Preface.

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Bethe and E. E. Salpeter, Quantum Mechanics of One- and TwoElectron Atoms (Quantum Mechanics of One- and Two-Electron Atoms, New York: Academic Press, 1957, 1957). 19. B. Zygelman, Phys. Rev. A (to be submitted) (2009). 20. B. Zygelman, A. Dalgarno and R. Sharma, Phys. Rev. A 49, 2587 (1994). 21. S. Hensler, J. Werner, A. Griesmaier, P. O. Schmidt, A. G¨ orlitz, T. Pfau, S. Giovanazzi and K. Rza˙zewski, Applied Physics B: Lasers and Optics 77, 765 (2003). 22. B. Zygelman, arXiv:physics/0209052 (2002).

8) implies that the contribution from state |p is magnified when hν ≈ Ep − E0 . The higher excited states of an atom are Rydberg states whose energies are close to each other; thus if hν is near Ep − E0 it is also near several other excitation energies and terms to at least the p’th must be included in a direct summation. The spatial extent of a state increases with its energy. If hν ≈ Ep − E0 the function |χ(−ν) must take account of the state |p . A finite difference method to find |χ(−ν) when applied over a range of radial coordinate that is not large enough to ‘contain’ |p and its neighbours effectively truncates the sum in Eq.

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