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Formalism and General Results
Notes and References
Spherically Symmetric Scatterers
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analog analytic continuation analytic function angle angular momentum assume asymptotic behavior Born approximation Born series bound bound-state boundary condition calculated center-of-mass complex convergence Coulomb defined density matrix depends diagonal differential cross section direction discussion dispersion relation eigenstates eigenvalue energy exists expansion explicitly exponential expression fact finite fixed fragments Fredholm determinant given Green's function hamiltonian Hence hermitian impact parameter implies incident beam infinite infinity Insertion integral equation interaction inverse Jost function kernel limit Lippmann-Schwinger equation matrix momenta obtained operator optical theorem orthogonal partial wave particles phase shift polarization poles positive potential quantum numbers R. G. Newton radial Schrodinger equation real axis refer regular solution relativistic resonance result right-hand S-matrix S-matrix element scattering amplitude scattering cross section scattering theory shows singular solved space spectrum spherical spin Suppose symmetric theorem threshold unitarity vanishes vector wave function Yukawa