Abstract
Scattering is discussed in classical mechanics, quantum mechanics, and quantum field theory, which shows it is an important part of physics subject. From the Rutherford scattering in classical mechanics to the simple case of a potential barrier impeding the propagating wave in quantum mechanics, scattering problems seem trivial initially but get much more complicated with the study. The scattering theory developed along with the improvement and discovery in physics, and it brings lots of benefits and techniques for researchers from different science fields. To understand the scattering, finding the scattering is a good way to build up the connection between the fundamental theory and intuitive understanding. Specifically, the author wants to emphasize the scattering amplitude in the passage, which repeals the fundamental things of scattering, and the article would include some discussion of the properties of the Green function, which is a powerful mathematical tool for physicists. The author tries to show the scattering amplitudes beauty through the discussion. Then, link them with the quantum field theory of scattering.
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