Quantum Collision Theory

analytic 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 eikonal elastic scattering electron example exp(ikr expression final formula given by eq Glauber Green's function H₁ Hamiltonian Hence high energies incident particle initial interaction k₁ laboratory system Lippmann-Schwinger equation non-relativistic obtained operator optical potential P₁ partial wave phase shifts Phys physical potential scattering potential U(r proton quantity Quantum Mechanics 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 Yukawa potential ίε Ιπ