PHYS 556 Scattering Theory

Coordinate and momentum representations. Types of convergence of state vectors and operators on the Hilbert space. Formal timedependent theory of scattering: Moller wave operators, scattering operator. Unitarity of Soperator, conservation of energy, scattering amplitude, cross section, optical theorem. Computational wavepacket methods for timedependent scattering theory. Timeindependent scattering theory, resolvent operators and resolvent relations, LippmannSchwinger (LS) equation in operator form. LS equation in coordinate and momentum representations. BornNeumann series. Partialwave decomposition. Kmatrix formulation. Numerical methods for the solution of LS equation. Variational methods: Kohn and Schwinger variational principles. Multichannel scattering for inelastic collisions. Basic concepts and issues in the treatment of rearrangement collisions. Faddeev theory of threeparticle scattering with rearrangement and breakup.
Credit units: 3 ECTS Credit units: 5.



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