Explore time-independent scattering theory and its dynamical formulation in this pedagogical lecture by Ali Mostafazadeh. Delve into topics like scattering potentials, transfer matrices, and scattering amplitudes. Examine exactly solvable scattering potentials, including double delta-function potentials. Learn about the dynamical formulation of scattering in two dimensions and discover new exactly solvable potentials. Understand how emitted plane wave pairs can have entangled momentum with quantized y-components. The lecture concludes with references and a Q&A session, providing a comprehensive overview of this advanced topic in non-Hermitian physics.