Abstract
Statistical properties of classical random processes are considered in the tomographic representation. The Radon integral transform is used to construct the tomographic form of the kinetic equations. The relationship between the probability density on the phase space for classical systems and the tomographic probability distribution is elucidated. Examples of simple kinetic equations like the Liouville equations for one and many particles are studied in detail.
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Chernega, V.N., Man’ko, V.I. & Sadovnikov, B.I. Radon transform and kinetic equations in the tomographic representation. J Russ Laser Res 30, 570–577 (2009). https://doi.org/10.1007/s10946-009-9108-8
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DOI: https://doi.org/10.1007/s10946-009-9108-8