: Details S-matrix theory , various approximation methods (such as the Born approximation), and the determination of complex cross-sections.
: Applies the general theory to real-world phenomena in atomic and nuclear physics, including three-body problems and the optical potential method . Core Concepts and Theoretical Framework
The book is organized into four main parts, moving from fundamental definitions to advanced applications: quantum collision theory joachain pdf
: Developed alongside Byron, this approach is used for analyzing fast electron-atom collisions in laser fields, where some interactions are treated non-perturbatively and others via perturbation theory. Search and Availability Quantum Collision Theory: Amazon.co.uk: Joachain, C. J.
: Incident waves are broken into partial waves (e.g., : Details S-matrix theory , various approximation methods
: A central mathematical object used to calculate transition probabilities and cross-sections for multi-channel processes.
). These are essential for analyzing how centrifugal barriers prevent higher angular momentum waves from penetrating the collision region. Search and Availability Quantum Collision Theory: Amazon
: These angles carry vital information about the target potential. Positive or negative phase shifts indicate attractive or repulsive potentials, respectively.
: Analyzes the simplest collision problem—non-relativistic scattering by a potential—introducing stationary scattering wave functions and the optical theorem.