Absolutely continuous spectrum of a one-parameter family of Schrödinger operators
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- by O. Safronov
- St. Petersburg Math. J. 24 (2013), 977-989
- DOI: https://doi.org/10.1090/S1061-0022-2013-01275-1
- Published electronically: September 23, 2013
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Abstract:
Under certain conditions on the potential $V$, it is shown that the absolutely continuous spectrum of the Schrödinger operator $-\Delta +\alpha V$ is essentially supported on $[0,+\infty )$ for almost every $\alpha \in \mathbb R$.References
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Bibliographic Information
- O. Safronov
- Affiliation: Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, North Carolina
- MR Author ID: 607478
- Email: osafrono@uncc.edu
- Received by editor(s): June 7, 2011
- Published electronically: September 23, 2013
- © Copyright 2013 American Mathematical Society
- Journal: St. Petersburg Math. J. 24 (2013), 977-989
- MSC (2010): Primary 35J10
- DOI: https://doi.org/10.1090/S1061-0022-2013-01275-1
- MathSciNet review: 3097557