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Communications in Mathematical Physics

, Volume 203, Issue 2, pp 341–347 | Cite as

On the Absolutely Continuous Spectrum¶of One-Dimensional Schrödinger Operators¶with Square Summable Potentials

  • P. Deift
  • R. Killip

Abstract:

For continuous and discrete one-dimensional Schrödinger operators with square summable potentials, the absolutely continuous part of the spectrum is essentially supported by [0,∞) and [−2,2] respectively. This fact is proved by considering a priori estimates for the transmission coefficient.

Keywords

Continuous Spectrum Transmission Coefficient Continuous Part Summable Potential 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • P. Deift
    • 1
  • R. Killip
    • 2
  1. 1.Courant Institute, 251 Mercer St., New York, NY 10012, USA. E-mail: deift@cims.nyu.eduUS
  2. 2.Mathematics 253-37, Caltech, Pasadena, CA 91125, USA. E-mail: killip@cco.caltech.eduUS

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