Quantum Theory of ScatteringGeneral theory of scattering of a particle by a central field -- Partial wave analysis -- Integral equation for scattering -- Born and other approximations -- Variational methods -- Slow collisions : theory of scattering length and effective range -- Appendices to section -- F.S. Matrix and bound states, virtual and decaying states -- Determination of V(r) from the scattering data -- Scattering of a particle by a non-central field -- Scattering by tensor and L*S potential : partial wave analysis -- Scattering by tensor and L*S fields : born approximation -- Polarization effects -- Nucleon-nucleon scattering -- Collision between composite particles -- Scattering of an electron by hydrogen atom -- Scattering involving rearrangements -- Scattering of a particle by a system of particles -- Time-dependent theory of scattering -- Methods of unitary operator and of Green's function -- Time-dependent theory of scattering : variational principles of Lippman and Schwinger -- Time-dependent theory of scattering : treatment of Gellman and Goldberger -- Time-dependent theory : method of spectral representation -- Mathematical theory of scattering operator -- Nuclear reactions -- Resonance reactions -- Optical model -- Deuteron stripping reaction and other direct processes -- Scattering matrix S and derivative matrix -- Scattering matrix S -- The R or derivative, matrix -- Dispersion relations -- Dispersion relation and causality in optics : observations of the Kronig and Kramers -- Dispersion relations : scattering by a potential. |
Contents
GENERAL THEORY OF SCATTERING OF A PARTICLE | 1 |
B INTEGRAL EQUATION FOR SCATTERING | 26 |
BORN AND OTHER APPROXIMATIONS | 37 |
Copyright | |
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adiabatic angle angular momentum asymptotic form Born approximation bound Breit calculated causal transform complex compound nucleus condition consider convergence corresponding Coulomb defined deuteron differential cross section dispersion relations effective range eigenfunctions eigenstate eigenvalues elastic scattering electron elkr expression formula given Green's function H atom Hamiltonian hence incident particle inelastic initial integral equation interaction low energy matrix element method neutron nucleon nucleon-nucleon obtain operator optical potential outgoing wave P₁ parameters phase shifts Phys plane wave polarization Proc proton quantum r₁ r₂ resonance satisfies scattering amplitude scattering length scattering problem Schrödinger equation Sect sin² singlet solution spin stationary t₁ target theorem theory of scattering total cross section transition triplet unitary vanishes wave function zero Ιπ