Communications in Mathematical Physics

, Volume 67, Issue 1, pp 85–90 | Cite as

On the Cook-Kuroda criterion in scattering theory

  • Tosio Kato


A new criterion of the Cook-Kuroda type for the existence of the wave operator in the two-space scattering theory is introduced. The condition is quite simple, but it generalizes not only the original Cook-Kuroda condition but also its generalization recently given by Schechter. Specialized to the one-space case, it is actually equivalent to Schechter's condition for an optimal choice of factorization. An application to potential scattering leads to a new result.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Tosio Kato
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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