Abel Hill Inverse Problem for Two Non-Monotonic Cases
About this article
Abstract
Abel’s Hill as an inverse problem has been solved for piecewise monotonic potentials. This brief paper considers two cases which extend this solution. These cases correspond to the extreme possibilities for the potential’s slope, zero and infinite. The effect on the measured return times are discussed and it is found that it is straightforward to identify potentials with these characteristics.
Keywords
- Abel’s Hill
- Inverse Problems
- Monotonic Functions
References
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