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Isophasal, isopolar, and isospectral Schrödinger operators and elementary complex analysis
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 130, Number 1, February 2008
- pp. 49-58
- 10.1353/ajm.2008.0002
- Article
- Additional Information
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Abstract
We explicitly construct super-exponentially decaying potentials on d so that the associated Schrödinger operators are isophasal and isopolar. We use similar techniques to construct isospectral Schrödinger operators with periodic potentials on and isospectral Schrödinger operators on 1.
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