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Scattering in Quantum Mechanics

1 Paul Avery PHZ4390 Sep. 25, 2013 Scattering in Quantum Mechanics 1 Rutherford Scattering .. 1 Derivation of the classical Rutherford Scattering formula .. 1 Using the momentum transfer q .. 3 2 General Formula for Scattering in Nonrelativistic QM .. 3 3 QM Scattering from a Coulomb Potential .. 5 Derivation of Scattering cross section .. 5 Matrix element and Feynman diagram for coulomb Scattering .. 5 Example: large angle Scattering in the Rutherford experiment .. 6 Coulomb Scattering of two finite mass particles.

ceed from an initial quantum state ψ i to a final state ψ f is given by the Fermi Golden Rule: dJ=ψ fMψ i 2 ×dN f×2πδ(E f−E i) where ψ fMψ i=ψ ∗ fMψ id ∫3x describes the QM transition, dN f is the differential number of states for final state f (derived in the Appendix) and δ(E f−E i) is a delta function enforcing energy ...

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