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The Coulomb and Coulomb-like off-shell Jost functions

J. Math. Phys. 20, 1109 (1979); doi:10.1063/1.524161

Issue Date: June 1979

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H. van Haeringen
Natuurkundig Laboratorium der Vrije Universiteit, Amsterdam, The Netherlands
Institute for Theoretical Physics, P.O. Box 800, University of Groningen, The Netherlands

The off-shell Jost functions are studied for a potential which is the sum of the Coulomb potential and an arbitrary local short-range central potential. We derive their singular on-shell behavior and their connection with the pure Coulomb off-shell Jost functions. For the latter we derive a large variety of interesting explicit analytic expressions which are useful for various purposes. Journal of Mathematical Physics is copyrighted by The American Institute of Physics.
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PACS

  • 03.80.+r
    Classical and quantum physics; mechanics and fields General theory of scattering
  • YEAR: 1979

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
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REFERENCES (6)

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  1. H. van Haeringen, J. Math. Phys. 19, 1379 (1978).
  2. M. G. Fuda, Phys. Rev. C 14, 37 (1976).
  3. W. Magnus, F. Oberhettinger, and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics (Springer-Verlag, New York, 1966).
  4. L. J. Slater, Generalized Hypergeometric Functions (Cambridge U.P., London, 1966).
  5. Higher Transcendental Functions, Bateman Manuscript Project, edited by A. Erdélyi (McGraw-Hill, New York, 1953), Vol. 2, pp. 221, 224.
  6. G. Szegö, Orthogonal Polynomials (American Mathematical Society, Providence, Rhode Island, 1975), p. 35.

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