Skip to main content
SpringerLink
Log in

Stationary scattering theory for time-dependent Hamiltonians

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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. Dirac, P. A. M.: The principles of quantum mechanics. 4th edition. Oxford University Press 1958

  2. Dunford, N., Schwartz, J. T.: Linear operators, Part I, New York: Interscience 1958

    Google Scholar 

  3. Gohberg, I. C., Krein, M. G.: Introduction to the theory of non-self adjoint operators. Am. Math. Soc. Translations of Mathematical Monographs, Vol. 18, Providence, 1969

  4. Halmos, P. R.: A Hilbert space problem book. Princeton: Van Nostrand 1967

    Google Scholar 

  5. Hille, E., Phillips, R. S.: Functional analysis and semi-groups. Am. Math. Soc. Colloq. Publ. Vol. 31, 1957

  6. Kato, T.: Wave operators and similarity for some nonselfadjoint operators. Math. Ann.162, 258–279 (1966)

    Google Scholar 

  7. Kato, T.: Linear evolution equations of “hyperbolic” type. J. Fac. Sci. Univ. Tokyo Sect. I,17, Parts 1 and 2; 241–258 (1970)

    Google Scholar 

  8. Kato, T., Kuroda, S. T.: The abstract theory of scattering. Rocky Mountain J. Math1, 127–171 (1971)

    Google Scholar 

  9. Kuroda, S. T.: Some remarks on scattering for Schroedinger operators. J. Fac. Sci. Univ. Tokyo, Sec. I,17, parts 1 and 2; 315–329 (1970)

    Google Scholar 

  10. Naimark, M. A., Fomin, S. V.: Continuous direct sums of Hilbert spaces and some of their applications. Am. Math. Soc. Translations. Ser. 2, Vol. 5, 35–66

  11. Schweber, S. S.: An introduction to relativistic quantum field theory. Evanston, Ill.: Row-Peterson 1961

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Virginia, 22903, Charlottesville, VA, USA

    James S. Howland

Authors
  1. James S. Howland
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Howland, J.S. Stationary scattering theory for time-dependent Hamiltonians. Math. Ann. 207, 315–335 (1974). https://doi.org/10.1007/BF01351346

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01351346

Keywords

Search

Navigation