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ISSN 1088-6850(e) ISSN 0002-9947(p)

Resonances for steplike potentials: Forward and inverse results

Author: T. Christiansen
Journal: Trans. Amer. Math. Soc. 358 (2006), 2071-2089
MSC (2000): Primary 34L25, 34A55, 81U40, 81U05
Posted: March 31, 2005
MathSciNet review: 2197448
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Abstract | References | Similar Articles | Additional Information

Abstract: We consider resonances associated to the one dimensional Schrödinger operator $-\frac{d^2}{dx^2}+V(x)$ , where if and if , with $V_+\not = V_-$ . We obtain asymptotics of the resonance-counting function for several regions. Moreover, we show that in several situations, the resonances, , and determine uniquely up to translation.

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