Quantum Collision Theory

analytic angular momentum arrangement channel asymptotic atomic Born series bound C.M. system center of mass Chapter classical collision complex consider coordinates corresponding Coulomb deduce defined denote differential cross section eikonal elastic scattering electron example exp(ik expression final formula given by eq Green's function H₁ Hamiltonian Hence high energies incident particle initial integral equation interaction j₁ k₁ Lippmann-Schwinger equation non-relativistic obtained operator P₁ parameter partial wave phase shift Phys physical potential scattering potential U(r quantity Quantum Mechanics r₁ radial Regge poles representation resonance result S-matrix s-wave scattering amplitude scattering angle Schrödinger equation side of eq sin² solution spherical spin symmetric target theorem theory total cross section transition matrix element two-body V₁ values variable variational principle wave function wave number wave vector Yukawa potential zero Απ ΦΩ