Scattering Flashcards
Introduction to scattering theory: differential cross section, solutions of the free Schroedinger equation, scattering amplitude
146-159
Scattering phase shifts: definition, relation to solutions of the free Schroedinger equation, example of hard spheres, Levingston theorem
159-165
Square well potential: expression for the s-wave phase shifts, bound state conditions
166-177
Analytical structure of the S matrix: regular solution, Jost functions,
bound states and resonances
178-187
Resolvent operators, Green’s functions, Lippmann-Schwinger equation,
scattering amplitude in terms of G+
188-197
Born series, analytical properties of S matrix as a function of λ
198-205
Time dependent scattering theory: asymptotic states, proof of existence
of interacting state given asymptotes
206-211
Moeller operators, their ranges, scattering operator and its momentum
space matrix elements
211-218
Relation between Moeller operators and resolvents, definition of T matrix
219-223
On-shell T matrix and scattering amplitudes, optical theorem
223-229
Rotational invariance in scattering problems, and partial wave expansions of S,T and scattering amplitude
230-234
Low energy scattering and the effective range expansion
235
