Skip to main content
SpringerLink
Log in

Scattering theory for the Schroedinger equation with a potential almost periodic in time

  • Published:
Journal d’Analyse Mathématique Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. L. Amerio and G. Prouse,Almost Periodic Functions and Functional Equations, Van Nostrand Reinhold Company, 1971.

  2. S. Bochner,Abstrakte fastperiodische Funktionen, Acta Math.61 (1933), 149–184.

    Article  MATH  MathSciNet  Google Scholar 

  3. H. Bohr,Fastperiodische Funktionen, Springer, Berlin, 1932.

    Google Scholar 

  4. E. B. Davies,Time dependent scattering theory, Math. Ann.210 (1974), 149–162.

    Article  MATH  MathSciNet  Google Scholar 

  5. G. Hellwig,Differentialoperatoren der Mathematischen Physik, Springer, 1964.

  6. E. Hewitt and K. A. Ross,Abstract Harmonic Analysis, Vol. I and II, Springer, 1963, 1970.

  7. J. Howland,Stationary scattering theory for time-dependent Hamiltonians, Math. Ann.207 (1974), 315–335.

    Article  MATH  MathSciNet  Google Scholar 

  8. T. Kato,Perturbation Theory for Linear Operators, Springer, 1966.

  9. T. Kato,Integration of the equation of evolution in a Banach space, J. Math. Soc. Japan5 (1953), 208–234.

    Article  MATH  MathSciNet  Google Scholar 

  10. T. Kato and S. T. Kuroda,The abstract theory of scattering, Rocky Mountain J. Math.,1 (1971), 127–171.

    Article  MATH  MathSciNet  Google Scholar 

  11. S. T. Kuroda,On the existence and unitary property of the scattering operator, Nuovo Cimento12 (1959), 431–454.

    Article  MATH  Google Scholar 

  12. G. Schmidt,On scattering by time-dependent perturbations, Indiana Univ. Math. J.24 (1975), 925–935.

    Article  MATH  Google Scholar 

  13. K. Yajima,Scattering theory for Schroedinger equation with potential periodic in time, preprint, 1975.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, McGill University, Montreal, Quebec, Canada

    Georg Schmidt

Authors
  1. Georg Schmidt
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work was supported by the National Research Council of Canada Grant A7271, and by an Alexander von Humboldt Research Fellowship. The author also acknowledges the hospitality of the Institut für Angewandte Mathematik und Statistik at the University of Würzburg, where most of the work was done.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schmidt, G. Scattering theory for the Schroedinger equation with a potential almost periodic in time. J. Anal. Math. 33, 121–145 (1978). https://doi.org/10.1007/BF02790170

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02790170

Keywords

Search

Navigation