Transcription of Scattering in Quantum Mechanics
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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 .. 7 4 QM Scattering from a Potential with Massive Particle Exchange .. 8 Fixed potential .. 8 Two interacting particles: weak interactions .. 9 5 Appendix: Density of States .. 10 Derivation of density of states formula .. 10 Example 1: Total density of states for p pmax .. 10 Example 2: Density of states and Maxwell velocity distribution .. 10 Example 3: Density of states and Planck photon energy distribution.
mass of ~197, we can safely neglect its recoil. At a density of 19.3 and a thickness of 400 nm, the foil is only about 1600 atoms thick (Rutherford chose gold foil because it can be processed into extremely thin sheets which minimizes multiple scattering).
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