Special Classes of Potentials

  • K. Chadan
  • P. C. Sabatier
  • R. G. Newton
Part of the Texts and Monographs in Physics book series (TMP)


Yukawa potentials have played an important role in particle physics and have been the subject of extensive studies in the past. Although the inverse problem for them can be dealt with either by the Gel’fand-Levitan or by the Marchenko method, a special technique has been found by Martin which permits solving the direct as well as the inverse problem by an iterative method based on special properties of the Laplace transform. We follow his method.


Inverse Problem Imaginary Axis Direct Problem Fredholm Determinant Successive Interval 
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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Copyright information

© Springer-Verlag New York Inc. 1989

Authors and Affiliations

  • K. Chadan
    • 1
  • P. C. Sabatier
    • 2
  • R. G. Newton
    • 3
  1. 1.Laboratoire de Physique ThéoriqueUniversité de Paris-SudOrsayFrance
  2. 2.Université des Sciences et Techniques du LanguedocMontpellier CedexFrance
  3. 3.Department of PhysicsIndiana UniversityBloomingtonUSA

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