Quantum Collision Theory

analytic angle angular momentum arrangement channel asymptotic atomic Born approximation Born series bound C.M. system center of mass Chapter collision consider coordinates corresponding Coulomb d₁ deduce defined denote differential cross section dispersion relation eikonal elastic scattering electron example exp(ik final given by eq Green's function H₁ Hamiltonian Hence high energies incident particle initial integral equation interaction Jost function k₁ laboratory system Lippmann-Schwinger equation non-relativistic obtain operator P₁ phase shift Phys physical potential scattering potential U(r quantity r₁ radial reaction Regge poles representation resonance S-matrix s-wave scattering amplitude Schrödinger equation side of eq sin² solution spherical spin target theorem theory total cross section transition matrix element two-body V₁ values variables variational principle wave function wave number wave vector write Yukawa potential zero ίε Ιπ