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Radon transform on the cylinder and tomography of a particle on the circle

M. Asorey·P. Facchi·V. I. Man'ko·G. Marmo·S. Pascazio·E. G. C. Sudarshan
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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.

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M. Asorey, P. Facchi, V. I. Man'ko, G. Marmo, S. Pascazio, E. G. C. Sudarshan. 2007-03-28. Radon transform on the cylinder and tomography of a particle on the circle. https://doi.org/10.1103/physreva.76.012117

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