Numerical Problem

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


We are interested in the quantum scattering of particles. The experimental results are cross sections corresponding to “long” wave packets that justify a time-independent formulation. We assume that we know a good model to describe the interaction, for instance, the Schrödinger equation, where the parameter describing the interaction is called “the potential.” Hence, the central rule of our work is a mathematical model enabling us to define a mapping from a “set of parametersL, into a “set of results” ℰ.


Inverse Problem Inverse Method Local Potential Darboux Transformation Schrodinger Equation 
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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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