Gel'fand-Levitan theory of the inverse problem for singular potentials

  • K. Hadan
Part II: Five Lectures on Special Applications and One Theoretical Lecture on Solutions of Inverse Problems
Part of the Lecture Notes in Physics book series (LNP, volume 85)


The Gel'fand-Levitan theory with two potentials is generalized to the case where the first potential, assumed to be known, is singular and repulsive at the origin. It is shown that the only modifications required are redefinitions of the regular solution and the Jost function. Some of the proofs are only sketched here, and will be given in more detail in a separate paper.


Inverse Problem Regular Solution Singular Part Regular Case Singular Potential 
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Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • K. Hadan
    • 1
  1. 1.Laboratoire de Physique Théorique et Hautes EnergiesUniversité de Paris XIOrsay CédexFrance

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