by T Kopaleishvili (Tbilisi State Univ., Republic of Georgia)

This book gives a systematic description of collision theory within the framework of non-relativistic quantum mechanics. However, the final expressions obtained can also hold for particles with spin and under relativistic conditions. The general theory is formulated for two elementary particles, for the scattering of an elementary particle with a bound system of elementary particles, and for the scattering process for a three-particle system (Faddeev's theory). In addition, the scattering problems are considered using exact and approximation methods.

• General Theory of the Elastic Scattering:
  • The Scattering Amplitude and the Scattering Cross Section
  • Lippman-Schwinger Equation for the Scattering Wave Function
  • The Properties of the Scattering Amplitude
  • Scattering Phase Shifts
  • The Dependence of the Scattering Phase Shifts on the Orbital Angular Momentum
  • Scattering T,R,S-Matrices
• Solution of the Scattering Problems:
  • The Exactly Solvable Scattering Problems
  • Scattering at the Low Energies
  • The Born Approximation
  • The Semi-Classical (W.K.B.) Approximation
  • The Eiconal Approximation
• Scattering of a Particle on the Bound System:
  • General Theory of the Multiple Scattering
  • Methods of Approximate Solution of the Multiple Scattering Problem
  • Scattering of a Particle on the Two-Particle Bound System