Skip to main content
SpringerLink
Log in

Potential scattering in a homogeneous electrostatic field

  • Published:
Mathematische Zeitschrift 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. Avron, J.E., Herbst, I.W.: Spectral and Scattering Theory of Schrödinger Operators Related to the Stark Effect. Commun. math. Phys.52, 239–254 (1977)

    Google Scholar 

  2. Eckardt, K.-J.: On the existence of wave operators for Dirac operators. Manuscripta math.11, 359–371 (1974)

    Google Scholar 

  3. Herbst, I.W.: Unitary equivalence of Stark Hamiltonians. Math. Z.155, 55–70 (1977)

    Google Scholar 

  4. Ikebe, T., Kato, T.: Uniqueness of the selfadjoint extension of singular elliptic differential operators. Arch. rat. Mech. Analysis9, 77–92 (1962)

    Google Scholar 

  5. Jörgens, K., Rellich, F.: Eigenwerttheorie gewöhnlicher Differentialgleichungen. Berlin-Heidelberg-New York: Springer 1976

    Google Scholar 

  6. Jörgens, K., Weidmann, J.: Zur Existenz der Wellenoperatoren. Math. Z.131, 141–151 (1973)

    Google Scholar 

  7. Kato, T.: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966

    Google Scholar 

  8. Riddell, R.C.: Spectral concentration for selfadjoint operators. Pacific J. Math.23, 371–401 (1967)

    Google Scholar 

  9. Titchmarsh, E.C.: Eigenfunction expansions associated with second order differential equations II. Oxford: Clarendon Press 1958

    Google Scholar 

  10. Veselić, K., Weidmann, J.: Existenz der Wellenoperatoren für eine allgemeine Klasse von Operatoren. Math. Z.134, 255–274 (1973)

    Google Scholar 

  11. Veselić, K., Weidmann, J.: Asymptotic estimates of wave functions and the existence of wave operators. J. functional Analysis17, 61–77 (1974)

    Google Scholar 

  12. Walter, J.: Absolute continuity of the essential spectrum of−d 2/dt 2+q(t) without monotony ofq. Math. Z.129, 83–94 (1972)

    Google Scholar 

  13. Weidmann, J.: Trace class methods for scattering in a homogeneous field. In: Proceedings of the Fourth Conference on Ordinary and Partial Differential Equations (Dundee 1976), pp. 527–532. Lecture Notes in Mathematics564, Berlin-Heidelberg-New York: Springer 1976

    Google Scholar 

  14. Weidmann, J.: Lineare Operatoren in Hilberträumen. Stuttgart: Teubner 1976

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Abteilung Mathematik, Universität Dortmund, Postfach 500500, D-4600, Dortmund 50, Germany

    Krešimir Veselić

  2. Fachbereich Mathematik, Universität Frankfurt, Robert-Mayer-Straße 10, D-6000, Frankfurt a. Main, Germany

    Joachim Weidmann

Authors
  1. Krešimir Veselić
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Joachim Weidmann
    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

Veselić, K., Weidmann, J. Potential scattering in a homogeneous electrostatic field. Math Z 156, 93–104 (1977). https://doi.org/10.1007/BF01215131

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01215131

Keywords

Search

Navigation