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Operators with singular continuous spectrum, V. Sparse potentials
Author(s):
B.
Simon;
G.
Stolz
Journal:
Proc. Amer. Math. Soc.
124
(1996),
2073-2080.
MSC (1991):
Primary 34L40, 34B24
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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:
- [1]
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- [2]
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- [3]
- R. del Rio, N. Makarov, and B. Simon, Operators with singular continuous spectrum, II. Rank one operators, Commun. Math. Phys. 165 (1994), 59--67. CMP 95:02
- [4]
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- [6]
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- ------,
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- ------, Operators with singular continuous spectrum, VI. Graph Laplacians and Laplace-Beltrami operators, Proc. Amer. Math. Soc. (to appear). CMP 95:05
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Additional Information:
B.
Simon
Affiliation:
Division of Physics, Mathematics and Astronomy, California Institute of Technology, Pasadena, California 91125-0001
Email:
bsimon@caltech.edu
G.
Stolz
Affiliation:
Department of Mathematics, University of Alabama at Birmingham, Birmingham, Alabama 35294-1170
Email:
stolz@vorteb.math.uab.edu
DOI:
10.1090/S0002-9939-96-03465-X
PII:
S 0002-9939(96)03465-X
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 of article:
Copyright
1996,
B. Simon and G. Stolz
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