Transcription of Lecture 20 Scattering theory - University of Cambridge
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Lecture 20 Scattering theoryScattering theoryScattering theory is important as it underpins one of the most ubiquitoustools in everything we know about nuclear and atomic physics hasbeen discovered by Scattering experiments, Rutherford s discovery of the nucleus, the discovery ofsub-atomic particles (such as quarks), low energy physics, Scattering phenomena provide the standardtool to explore solid state systems, neutron, electron, x-ray Scattering , a general topic, it therefore remains central to any advancedcourse on quantum these two lectures, we will focus on the general methodologyleaving applications to subsequent theory : outlineNotations and definitions; lessons from classical scatteringLow energy Scattering : method of partial wavesHigh energy Scattering : Born perturbation series expansionScattering by identical particlesBragg phenomena: backgroundIn an idealized Scattering experiment, a sharp beam of particles (A)of definite momentumkare scattered from a localized target (B).
target and collected by detectors which measure angles of deflection. In principle, if all incoming particles represented by wavepackets, the task is to solve time-dependent Schr¨odinger equation, i! ∂ t Ψ(r, t)= + −!2 2m ∇2 + V (r), Ψ(r, t) and find probability amplitudes for outgoing waves.
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