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Scattering theory in the mixed representation

  • Quantum-Mechanical Scattering Theory
  • Conference paper
  • First Online:
Mathematical Methods and Applications of Scattering Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 130))

Abstract

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]

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Footnote And References

  1. R.G. Newton: Physica 96A, 271–279 (1979)

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  2. See, for example, I.M. Gelfand, M.I. Graev, N. Ya Vilenkin: Generalized Functions (Academic, New York, 1966), Vol. 5

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  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 written

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  4. See, for example, K. T. Smith, D.C. Solmon, S. L. Wagner: Bull. Am. Math. Soc. 83, 1227 (1977)

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  5. See, for example. R. G. Newton: Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966), p. 271

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  6. Ibid., p. 190 *** DIRECT SUPPORT *** A3418088 00006

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Authors and Affiliations

  1. Institute for Advanced Study, 08540, Princeton, New Jersey

    Roger G. Newton

  2. Physics Department, Princeton University, 08540, Princeton, New Jersey

    Roger G. Newton

  3. Physics Department, Indiana University, 47405, Bloomington, Indiana

    Roger G. Newton

Authors
  1. Roger G. Newton
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Editor information

John A. DeSanto Albert W. Sáenz Woodford W. Zachary

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© 1980 Springer-Verlag

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Newton, R.G. (1980). Scattering theory in the mixed representation. In: DeSanto, J.A., Sáenz, A.W., Zachary, W.W. (eds) Mathematical Methods and Applications of Scattering Theory. Lecture Notes in Physics, vol 130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-10023-7_104

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  • DOI: https://doi.org/10.1007/3-540-10023-7_104

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10023-2

  • Online ISBN: 978-3-540-38184-6

  • eBook Packages: Springer Book Archive

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