Transcription of Scattering in Quantum Mechanics
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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 .. 7 4 QM Scattering from a Potential with Massive Particle Exchange .. 8 Fixed potential .. 8 Two interacting particles: weak interactions.
For relativistic scattering in quantum electrodynamics (QED), there are precise rules that allow one to exactly calculate the matrix element from a Feynman diagram, including all constants and possible internal loops (which we defer to a later discussion).
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