圆柱上的Radon变换与圆上粒子的层析成像
Radon transform on the cylinder and tomography of a particle on the circle
摘要：
引入了与圆或区间相关的相空间（柱面）上的层析概率分布。给出了环面上粒子运动的层析概率密度与相空间上的概率密度的显式关系，阐明了平面上Radon变换与所建议映射的关系。的情况下，一个多维环面的推广阐述和螺旋线上的边缘分布的层析成像概率密度的几何意义进行了讨论。
英文摘要：
The tomographic probability distribution on the phase space (cylinder) related to a circle or an interval is introduced. The explicit relations of the tomographic probability densities and the probability densities on the phase space for the particle motion on a torus are obtained and the relation of the suggested map to the Radon transform on the plane is elucidated. The generalization to the case of a multidimensional torus is elaborated and the geometrical meaning of the tomographic probability densities as marginal distributions on the helix discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
