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arxiv: 1107.0960 · v2 · pith:YTY5OP3Anew · submitted 2011-07-05 · 🧮 math.AP · math-ph· math.MP· math.SP

Resonant uniqueness of radial semiclassical Schrodinger operators

classification 🧮 math.AP math-phmath.MPmath.SP
keywords decayingpotentialsradialschrodingersemiclassicalsuperexponentiallyassociateddetermined
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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.

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