Operators with singular continuous spectrum, V. Sparse potentials

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.

Additional Information

© Copyright 1996 B. Simon and G. Stolz. Communicated by: Palle E. T. Jorgensen. Received by the editors January 9, 1995. his material is based upon work supported by the National Science Foundation under grant no. DMS-9101715. The government has certain rights to this material.

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