Skip to main content
Log in

Perturbations of the Schrödinger equation by potentials with small support

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

Abstract

Using the techniques of rigged Hilbert spaces we investigate the perturbations of the Schrödinger equation by nonstationary potentials whose support is small in some sense. We have obtained generalizations of certain results of Friedman.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. L. D. Landau and E. M. Lifshits, Quantum Mechanics. Nonrelativistic Theory [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  2. A. I. Baz', Ya. B. Zel'dovich, and A. M. Perelomov, Scattering, Reactions, and Decays in Nonrelativistic Quantum Mechanics [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  3. C. N. Friedman, “Perturbation of the Schrödinger equation by a potential with small support,” J. Funct. Anal.,10, 346–360 (1972).

    Google Scholar 

  4. T. P. Schonbek, “Notes to a paper by C. N. Friedman,” J. Funct. Anal.,14, 281–294 (1973).

    Google Scholar 

  5. T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag (1966).

  6. Yu. A. Semenov, “Formula for the product of semigroups, determined by the method of bilinear forms, and its application to the Schrödinger equation,” Dokl. Akad. Nauk SSSR,203, No. 5, 1024–1026 (1972).

    Google Scholar 

  7. J. L. Lions and E. Magenes, Nonhomogeneous Boundary Value Problems and Applications, Springer-Verlag (1972).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 20, No. 5, pp. 675–680, November, 1976.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chueshov, I.D. Perturbations of the Schrödinger equation by potentials with small support. Mathematical Notes of the Academy of Sciences of the USSR 20, 938–941 (1976). https://doi.org/10.1007/BF01146914

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01146914

Keywords

Navigation