✦ LIBER ✦
On the Scattering Length Spectrum for Real Analytic Obstacles
✍ Scribed by Luchezar Stoyanov
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 271 KB
- Volume
- 177
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
It follows trivially from old results of Majda and Lax Phillips that connected obstacles K with real analytic boundary in R n are uniquely determined by their scattering length spectrum. In this paper we prove a similar result in the general case (i.e. K may be disconnected) imposing some non-degeneracy conditions on K and assuming that its trapping set does not topologically divide S*(C), where C is a sphere containing K. It is shown that the conditions imposed on K are fulfilled, for instance, when K is a finite disjoint union of strictly convex bodies. 2000