𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Scattering results for measure potentials with unbounded support

✍ Scribed by Richard Ford

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
772 KB
Volume
17
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The eigenfunction expansion theorem and its application to the scattering operator and the scattering matrix is extended to SchrΓΆdinger operators with measure potentials with unbounded support on ℝ^n^ that are known to generate wave operators that are strongly complete. Analyticity conditions of the eigenfunctions and the scattering matrix are presented.

πŸ“œ SIMILAR VOLUMES

Approximate Solution to Inverse Scatteri
Approximate Solution to Inverse Scattering Problem for Potentials With Small Support
✍ A. I. Katsevich; A. G. Ramm πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 549 KB

Let q ( x ) be. a real-valued function with compact support D c R3. Given the scattering amplitude A(a', a, k) for all a', a E S 2 and a fixed frequency k > 0, the moments of q(x) up to the second order are found using a computationally simple and relatively stable two-step procedure. First, one fin