This book is based on the course in theoretical nuclear physics
that has been given by the author for some years at the T. G.
Shevchenko Kiev State University. This version is supplemented and
revised to include new results obtained after 1971 and 1975 when
the first and second editions were published. This text is intended
as an introduction to the nonrelativistic theory of po tential
scattering. The analysis is based on the scattering matrix concept
where the relationship between the scattering matrix and observable
physical quantities is considered. The stationary formulation of
the scattering problem is presented; particle wave functions in the
external field are obtained. A formulation of the optical theorem
is given as well as a discussion on time inversion and the reci
procity theorem. Analytic properties of the scattering matrix,
dispersion relations, and complex moments are analyzed. The
dispersion relations for an arbitrary di rection scattering
amplitude are proven, and analytic properties of the amplitude in
the plane of the complex cosine of the scattering angle are studied
in detail."
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