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Jost function for coupled channels

  • S. A. Rakityansky
  • S. A. Sofianos
Part of the Few-Body Systems book series (FEWBODY, volume 10)

Abstract

Almost any textbook on the scattering theory has a chapter devoted to the Jost function, but none of them gives a practical recipe for its calculation. Thus one usually gets a feeling that the Jost function is a pure mathematical object, elegant and useful in formal theory, but impractical in computations. This is even more so in the case of multi-channel problems, where the Jost function is, in fact, a matrix. Recently, we proposed an exact method for direct calcu- lation of the Jost function for central potentials (which may have Coulombic tails) [1, 2] and the Jost matrix for non-central short range potentials [3]. This method works for all real or complex momenta of physical interest, including the spectral points corresponding to bound and Siegert states. In this work we extend it for potentials which couple channels with different thresholds.

Keywords

Schrodinger Equation Complex Energy Couple Channel Spectral Point Complex Momentum 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    S.A. Rakityansky, S.A. Sofianos, K. Amos: Nuovo Cim., B111, 363 (1996)ADSCrossRefGoogle Scholar
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    S.A. Rakityansky, S.A. Sofianos: Journal of Phys. A31, 5149 (1998)Google Scholar
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    J.R. Taylor: In: Scattering Theory New York: John Wiley & SonsGoogle Scholar
  5. 5.
    T. Noro, H.S. Taylor: J. Phys. B13, L377 (1980)ADSGoogle Scholar

Copyright information

© Springer-Verlag/Wien 1999

Authors and Affiliations

  • S. A. Rakityansky
    • 1
  • S. A. Sofianos
    • 1
  1. 1.Department of PhysicsUniversity of South AfricaPretoriaSouth Africa

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