The Inverse Problem Of Scattering Theory | Z. S. Agranovich, V. A. Marchenko

The basic question treated in this book, a translation of the mono­ graph entitled Obratnaya zadacha teorii rasseyaniya, is encountered in many fields. Besides the quantum theoretical problem, there is, for example, the electromagnetic inverse scattering problem, i. e., the problem of determining information about a medium from which an electromagnetic wave is reflected, given a knowledge of the ref­ lection coefficient. The authors Agranovich and Marchenko have presented a comprehensive lucid solution of another such problem arising in the theory of the deuteron. It is based mainly on the consi­ derable amount of work they have done in this and related areas. Moreover, the functional analytic and algebraic methods used should also be of great interet to pure and applied mathematicians.