论文标题
粒子散射理论的玩具模型
Toy model of particle scattering theory
论文作者
论文摘要
提出了粒子散射理论的一个维概率玩具模型。事实证明,散射概率的玩具模型版本等于N维图的超量。任何N颗粒玩具模型的解决方案通过Mellin Trasnformation呈现为轮廓积分。讨论了解决轮廓积分的方法。观察到该玩具模型的非平凡对称性,即粒子初始位置的不变性。
The one dimensional probabilistic toy model of particle scattering theory is proposed. The toy model version of scattering probability is proved to be equal to the hypervolume of a n-dimensional figure. The solution for any n-particle toy model is presented as a contour integral, through Mellin trasnformation. The method of solving the contour integral is discussed. A nontrivial symmetry of this toy model, the invariance on initial position of the particles, is observed.