The Absolutely Continuous Spectrum of One-Dimensional Schrödinger Operators with Decaying Potentials |
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| Authors: | Christian Remling |
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| Affiliation: | Universit?t Osnabrück, Fachbereich Mathematik/Informatik, 49069 Osnabrück, Germany.?E-mail: cremling@mathematik.uni-osnabrueck.de, DE
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| Abstract: | We investigate one-dimensional Schr?dinger operators with asymptotically small potentials. It will follow from our results that if with , then is an essential support of the absolutely continuous part of the spectral measure. We also prove that if , then the spectrum is purely absolutely continuous on . These results are optimal. Received: 25 June 1997 / Accepted: 29 July 1997 |
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