Radon transform on the cylinder and tomography of a particle on the circle
Radon transform on the cylinder and tomography of a particle on the circle
复制标题
圆柱上的氡变换和圆上粒子的断层扫描
DOI：
10.1103/physreva.76.012117
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发表时间：
2007
影响因子：
2.9
通讯作者：
E. Sudarshan
中科院分区：
文献类型：
--
作者：
M. Asorey;P. Facchi;V. Man’ko;G. Marmo;S. Pascazio;E. Sudarshan
引入了与圆或区间相关的相空间（柱面）上的层析概率分布。给出了环面上质点运动的层析概率密度与相空间上的概率密度的显式关系，并阐明了该映射与平面上Radon变换的关系。的情况下，一个多维环面的推广阐述，并讨论了螺旋边缘分布的层析成像概率密度的几何意义。
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.