The modified free Hamiltonian for the Coulomb interaction is used to derive an equation for the S-matrix and renormalized asymptotic states. We obtain an effective potential and the corresponding finite perturbation expansion for the S-matrix. The Born approximation is shown to contain a term (α|p|)δ3(p-p′) the (divergent) phase correction which makes the second-order term finite is also explicitly derived.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics