Partial identification of the potential from phase shifts

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:380

Article

Horvath, Miklos

关键词: Inverse scattering;    Phase shifts;    Scattering amplitude;   

DOI  :  10.1016/j.jmaa.2010.10.071

来源: Elsevier

【 摘 要 】

We consider the three-dimensional inverse scattering with fixed energy in the spherically symmetrical case. We give a characterization of the sequences of phase shifts for two potentials which can be different only in a ball of radius a. In other words we study how the large distance interaction influences the asymptotical behavior of the phase shifts. We also characterize the tail of the potential by the growth order of the scattering amplitude F(t) for large t. (C) 2010 Published by Elsevier Inc.

【 授权许可】

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