The Regular Solution

  • Roger G. Newton
Part of the Texts and Monographs in Physics book series (TMP)


In the one-dimensional case it is customary and very useful to define a solution of the Schrödinger equation by a k-independent boundary condition at a point. Such a solution is necessarily an entire analytic function of k of exponential type |x|. It is this property that is exploited in the solution technique of the inverse spectral problem due to Gel’fand and Levitan.


Spectral Function Spherical Harmonic Regular Solution Exponential Type Schrodinger Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Roger G. Newton
    • 1
  1. 1.Department of PhysicsIndiana UniversityBloomingtonUSA

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