\[\Phi(r) = A e^{i k \cdot r}+\int G \left(r-r^{\prime} \right) U \left(r^{\prime} \right) A e^{i k \cdot r^{\prime}} d^{3} r^{\prime}+\iint G \left(r-r^{\prime} \right) U \left(r^{\prime} \right) G \...Φ(r)=Aeik⋅r+∫G(r−r′)U(r′)Aeik⋅r′d3r′+∬G(r−r′)U(r′)G(r′−r′′)U(r′′)Φ(r′′)d3r′d3r′′
The scattering amplitude f(Ω) can be calculated using a variety of analytical and numerical methods. We will discuss one particularly important approach, based on a quantum variant of the Green’s fu...The scattering amplitude f(Ω) can be calculated using a variety of analytical and numerical methods. We will discuss one particularly important approach, based on a quantum variant of the Green’s function technique for solving inhomogenous differential equations.
