Operators with singular continuous spectrum, V. Sparse potentials
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Abstract:
By presenting simple theorems for the absence of positive eigenvalues for certain one-dimensional Schrödinger operators, we are able to construct explicit potentials which yield purely singular continuous spectrum.References
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Additional Information
- B. Simon
- Affiliation: Division of Physics, Mathematics and Astronomy, California Institute of Technology, Pasadena, California 91125-0001
- MR Author ID: 189013
- Email: bsimon@caltech.edu
- G. Stolz
- Affiliation: Department of Mathematics, University of Alabama at Birmingham, Birmingham, Alabama 35294-1170
- MR Author ID: 288528
- Email: stolz@vorteb.math.uab.edu
- Received by editor(s): January 9, 1995
- Additional Notes: This material is based upon work supported by the National Science Foundation under grant no. DMS-9101715. The government has certain rights to this material.
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 B. Simon and G. Stolz
- Journal: Proc. Amer. Math. Soc. 124 (1996), 2073-2080
- MSC (1991): Primary 34L40, 34B24
- DOI: https://doi.org/10.1090/S0002-9939-96-03465-X
- MathSciNet review: 1342046