Scattering Amplitude and Green's Functions

This lecture covers the derivation of the scattering amplitude using Lippmann-Schwinger equations and the introduction of Green's functions. It also explores the concept of T-matrix and the expression of scattering amplitude in terms of the scattering matrix. The lecture further delves into the formal solution of Lippmann-Schwinger equations and the first Born approximation, leading to the Fourier transform of the potential. The instructor demonstrates the construction of perturbation series and the extension to 3D systems, emphasizing the asymptotic behavior and the interaction Hamiltonian in the interaction picture.