Asymptotics of Quantum Mechanical Atom-Ion Systems

  • T. C. Scott
  • M. Aubert-Frécon
  • D. Andrae

Abstract.

 We have analyzed and reduced a general (quantum-mechanical) atom-ion diatomic exchange energy formulation into fundamental mathematical forms, namely a particular class of single and double definite integrals. These are of importance in the charge exchange of molecular processes in atmospheric physics and eventually of interest to matters related to climate. These integrals have been evaluated in terms of asymptotic expansions, with precise schemes for their numerical evaluation. Dividends for algebraic aspects concerning identities of hypergeometric functions as well as summation techniques for divergent series are also discussed in this context.

Key words:  Symbolic Integration, Numerical Integration, Molecular Physics, Special Functions and Sums, Asymptotic Series--> 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • T. C. Scott
    • 1
  • M. Aubert-Frécon
    • 2
  • D. Andrae
    • 1
  1. 1.Theoretische Chemie, Fakultät für Chemie, Universität Bielefeld, Postfach 10 01 31, D-33501 Bielefeld, Germany (email: {tony.scott, dirk.andrae}@uni-bielefeld.de)DE
  2. 2.LASIM, CNRS et Université Lyon 1, Campus de La Doua, Bâtiment Alfred Kastler, F-69100 Villeurbanne Cédex, France (email: frecon@lasim.univ-lyon1.fr)FR

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