Licentiat thesis: Solving Quantum Scattering Problems for the Few-body Molecular Systems Using the Complex Scaling Method

by Mikhail Volkov (Stockholm University, Department of Physics)

Monday 20 Apr 2009, 13:00 → 14:30 Europe/Stockholm

FD51

In this thesis I present a rigorous formalism for solving the scattering problem for long-range interactions without using exact asymptotic boundary conditions. The long-range interaction may contain both Coulomb and short-range potentials. The exterior complex scaling method, applied to a specially constructed inhomogeneous Schrödinger equation, transforms the scattering problem into a boundary problem with zero boundary conditions. The local and integral representations for the scattering amplitudes have been derived. The theory is developed for both single-channel and many-channel two-body Coulomb scattering problems. The present theoretical results are implemented numerically using the finite-element method and the Gauss-Lobatto quadrature. Finally, I outline how this theory can be generalised to a three-body many-channel problem where Coulomb interactions are present.