Radon transform on the cylinder and tomography of a particle on the circle
Mathematical Physics
2010-01-31 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0703081,
title = {Radon transform on the cylinder and tomography of a particle on the circle},
author = {M. Asorey and P. Facchi and V. I. Man'ko and G. Marmo and S. Pascazio and E. G. C. Sudarshan},
journal= {arXiv preprint arXiv:math-ph/0703081},
year = {2010}
}
Comments
9 pages, 3 figures