Scattering Theory

A.G. Sitenko gives an introduction to nonrelativistic scattering theory. The presentation is mathematically rigorous, but is accessible to upper level undergraduates in physics. The relationship between the scattering matrix and physical observables, i.e., transition probabilities, is discussed in detail. Among the emphasized topics are the stationary formulation of the scattering problem, the inverse scattering problem, dispersion relations, three-particle bound states and their scattering, collisions of particles with spin and polarization phenomena. The analytical properties of the scattering matrix are discussed. Exercises are included to help the reader to gain some experience and more expertise in scattering theory. An introduction to nonrelativistic scattering theory dealing with the scattering matrix/physical observables relationship (transition probabilities), stationary formulation of the scattering problem, the inverse scattering problem and analytical properties of the scattered matrix.