The Gel’fand-Levitan-Jost-Kohn Method

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


Generally speaking, there are two methods for solving the inverse problem at fixed angular momentum. The first one, which uses the regular solution of the radial Schrödinger equation, is that of Gel’fand and Levitan, and Jost and Kohn, and is the subject of the present chapter. The second method is that of Marchenko, which uses the Jost solution. It will be studied in the following chapters. Each one has its own advantages, and permits us to clarify some particular aspect of the problem. The two methods are of course equivalent to each other.


Inverse Problem Spectral Function Exponential Type Schr6dinger Equation Singular Potential 
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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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