Skip to main content
SpringerLink
Log in

Asymptotic completeness for quantum mechanical potential scattering

I. Short range potentials

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

A new (geometrical) proof is given for the asymptotic completeness of the wave operators and the absence of a singular continuous spectrum of the Hamiltonian for potentials which decrease faster than in the Coulomb case, the space dimension is arbitrary.

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

Similar content being viewed by others

References

  1. Agmon, S.: Ann. Sc. Norm. Sup. Pisa, Serie IV,2, 151–218 (1975)

    Google Scholar 

  2. Amrein, W. O., Georgescu, V.: Helv. Phys. Acta46, 635–658 (1973)

    Google Scholar 

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

    Google Scholar 

  4. Kuroda, S. T.: Nuovo Cimento12, 431–454 (1959)

    Google Scholar 

  5. Reed, M., Simon, B.: Methods of modern mathematical physics. In: Fourier analysis, self-adjointness, Vol. II. New York: Academic Press 1975

    Google Scholar 

  6. Ruelle, D.: Nuovo Cimento61A, 655–662 (1969)

    Google Scholar 

  7. Simon, B.: Commun. math. Phys.55, 259–274 (1977)

    Article  Google Scholar 

  8. Deift, P. J., Simon, B.: Commun. Pure Appl. Math.30, 573–583 (1977)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Indiana University, 47401, Bloomington, Indiana, USA

    Volker Enss

Authors
  1. Volker Enss
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by J. Ginibre

Partially supported by a travel grant from the Deutsche Forschungsgemeinschaft

On leave from Department of Theoretical Physics, University of Bielefeld, Federal Republic of Germany

Rights and permissions

Reprints and permissions

About this article

Cite this article

Enss, V. Asymptotic completeness for quantum mechanical potential scattering. Commun.Math. Phys. 61, 285–291 (1978). https://doi.org/10.1007/BF01940771

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01940771

Keywords

Search

Navigation