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Phys. Rev. A 55, 3605–3614 (1997)

Positive energy Sturmian states for two-Coulomb-center problems

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S. Yu. Ovchinnikov and J. H. Macek
Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996-1501
and Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831

Received 16 December 1996; published in the issue dated May 1997

Properties of two-center Coulomb Sturmian basis sets are discussed. Analytic and numerical techniques to calculate these functions and coupling matrix elements are developed. A class of Sturmian functions is found that has no analytic continuation to negative energies and is not present in one-center potentials. Advantages of Sturmian sets over conventional eigenstate sets are emphasized.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.55.3605
DOI:
10.1103/PhysRevA.55.3605
PACS:
34.80.Dp, 34.20.Mq, 31.15.-p, 34.10.+x