Resonant uniqueness of radial semiclassical Schrodinger operators
Abstract
We prove that radial, monotonic, superexponentially decaying potentials in R^n, n greater than or equal to 1 odd, are determined by the resonances of the associated semiclassical Schrodinger operator among all superexponentially decaying potentials in R^n.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2011
- DOI:
- 10.48550/arXiv.1107.0960
- arXiv:
- arXiv:1107.0960
- Bibcode:
- 2011arXiv1107.0960D
- Keywords:
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- Mathematics - Analysis of PDEs;
- Mathematical Physics;
- Mathematics - Spectral Theory
- E-Print:
- 8 pages