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Polarizabilites and Rydberg States in the Presence of a Debye PotentialPolarizabilities and hyperpolarizabilities, alpha(1), beta(1),gamma(1), alpha(2), beta(2),gamma(2), alpha(3), beta(3),gamma(3), delta and epsilon of hydrogenic systems have been calculated by Drachman. We have now calculated these quantities by using pseudostates for the S. P. D and F states. All of them converge very fast as the number of terms in the pseudostates is increased, and are essentially independent of the nonlinear parameters. All the results are in good agreement with the results obtained by Drachman. except for delta, which is of the third-order in perturbation formalism. We have calculated Rydberg states of He for high N and L. The effective potential is -alpha(sub 1)/x(exp 4)+{6 * Beta(sub 1) -alpha(sub 2)/x(exp6), where x is the distance of the outer electron from the nucleus. The exchange and electron-electron correlations are unimportant because the outer electron is far away from the nucleus. This implies that the conventional variational calculations are not necessary. The results agree well with the results of Drachman. We have generalized this approach in the presence of a Debye potential.
Document ID
20100020141
Acquisition Source
Goddard Space Flight Center
Document Type
Conference Paper
Authors
Bhatia, A. K.
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Drachman, Richard J.
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Date Acquired
August 24, 2013
Publication Date
May 25, 2010
Publication Information
Publication: Bulletin of the American Physical Society
Volume: 55
Issue: 5
Subject Category
Physics (General)
Meeting Information
Meeting: 41st Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Location: Houston, TX
Country: United States
Start Date: May 25, 2010
End Date: May 29, 2010
Sponsors: American Physical Society Headquarters
Distribution Limits
Public
Copyright
Other

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