Skip to main content
SpringerLink
Log in

The lower spectrum of Schrödinger operators

  • Published:
Archive for Rational Mechanics and Analysis 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. Allegretto, W., On the equivalence of two types of oscillation for elliptic operators. Pacific J. Math. 55, 319–328 (1974).

    Google Scholar 

  2. Deift, P. A., Applications of a commutation formula. Duke Math. J. 45, 267–310 (1978).

    Google Scholar 

  3. Gilbarg, D., & N. S. Trudinger, Elliptic partial differential equations of second order. Berlin, Heidelberg, New York: Springer 1977.

    Google Scholar 

  4. Glazman, I. M., Direct methods of qualitative spectral analysis of singular differential operators. Jerusalem: Israel program for scientific translations 1965.

    Google Scholar 

  5. Hartman, P., Ordinary differential equations. New York: Wiley 1964.

    Google Scholar 

  6. Kalf, H., A characterization of the Friedrichs extension of Sturm-Liouville operators. J. London Math. Soc. 17, 511–521 (1978).

    Google Scholar 

  7. Moss, W. F., & J. Piepenbrink, Positive solutions of elliptic equations. Pacific J. Math. 75, 219–226 (1978).

    Google Scholar 

  8. Piepenbrink, J., Finiteness of the lower spectrum of Schrödinger operators. Math. Z. 140, 29–40 (1974)

    Google Scholar 

  9. Reed, M., & B. Simon, Methods of modern mathematical physics IV: Analysis of operators. New York, San Francisco, London: Academic Press 1978.

    Google Scholar 

  10. Schmincke, U.-W., On Schrödinger's factorization method for Sturm-Liouville operators. Proc. Royal Soc. Edinburgh Sect. A 80, 67–84 (1978).

    Google Scholar 

  11. Simader, C. G., Essential self-adjointness of Schrödinger operators bounded from below. Math. Z. 159, 47–50 (1978).

    Google Scholar 

  12. Simon, B., The bound state of weakly coupled Schrödinger operators in one and two dimensions. Ann. Phys. 97, 279–288 (1976).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Mathematik der RWTH, Aachen

    U. -W. Schmincke

Authors
  1. U. -W. Schmincke
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by J. B. McLeod

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schmincke, U.W. The lower spectrum of Schrödinger operators. Arch. Rational Mech. Anal. 75, 147–155 (1981). https://doi.org/10.1007/BF00250476

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00250476

Keywords

Search

Navigation