{"product_id":"scattering-theory-methods-of-modern-mathematical-physics-vol-3-9780125850032","title":"Scattering Theory (Methods of Modern Mathematical Physics  Vol. 3)","description":"\u003cp\u003eScattering theory is the study of an interacting system on a scale of time and\/or distance which is large compared to the scale of the interaction itself. As such  it is the most effective means  sometimes the only means  to study microscopic nature. To understand the importance of scattering theory  consider the variety of ways in which it arises. First  there are various phenomena in nature (like the blue of the sky) which are the result of scattering. In order to understand the phenomenon (and to identify it as the result of scattering) one must understand the underlying dynamics and its scattering theory. Second  one often wants to use the scattering of waves or particles whose dynamics on knows to determine the structure and position of small or inaccessible objects. For example  in x-ray crystallography (which led to the discovery of DNA)  tomography  and the detection of underwater objects by sonar  the underlying dynamics is well understood. What one would like to construct are correspondences that link  via the dynamics  the position  shape  and internal structure of the object to the scattering data. Ideally  the correspondence should be an explicit formula which allows one to reconstruct  at least approximately  the object from the scattering data. The main test of any proposed particle dynamics is whether one can construct for the dynamics a scattering theory that predicts the observed experimental data. Scattering theory was not always so central the physics. Even thought the Coulomb cross section could have been computed by Newton  had he bothered to ask the right question  its calculation is generally attributed to Rutherford more than two hundred years later. Of course  Rutherfords calculation was in connection with the first experiment in nuclear physics.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":67929910706229,"sku":"ByrdShop_0125850034","price":748.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9780125850032.jpg?v=1794200943","url":"https:\/\/atxbooks.com\/products\/scattering-theory-methods-of-modern-mathematical-physics-vol-3-9780125850032","provider":"ATX Books","version":"1.0","type":"link"}