Scattering theory in the mixed representation

  • Roger G. Newton
Quantum-Mechanical Scattering Theory
Part of the Lecture Notes in Physics book series (LNP, volume 130)


The recently proposed mixed representation in quantum mechanics is discussed and applied to the scattering of a particle by a potential in three dimensions. Such scattering becomes equivalent to a one-dimensional reflection problem with a nonlocal potential. [/p]


Configuration Space Transformation Function Scattering Theory Reflection Amplitude Unit Magnitude 
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Footnote And References

  1. [1]
    R.G. Newton: Physica 96A, 271–279 (1979)Google Scholar
  2. [2]
    See, for example, I.M. Gelfand, M.I. Graev, N. Ya Vilenkin: Generalized Functions (Academic, New York, 1966), Vol. 5Google Scholar
  3. [3]
    We always denote vectors in IR3 or in IR3 n of unit magnitude by a letter with a caret. The integral over S3 n-1 I will be writtenGoogle Scholar
  4. [4]
    See, for example, K. T. Smith, D.C. Solmon, S. L. Wagner: Bull. Am. Math. Soc. 83, 1227 (1977)Google Scholar
  5. [5]
    See, for example. R. G. Newton: Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966), p. 271Google Scholar
  6. [6]
    Ibid., p. 190 *** DIRECT SUPPORT *** A3418088 00006Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Roger G. Newton
    • 1
    • 2
    • 3
  1. 1.Institute for Advanced StudyPrinceton
  2. 2.Physics DepartmentPrinceton UniversityPrinceton
  3. 3.Physics DepartmentIndiana UniversityBloomington

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