Radon transform and kinetic equations in the tomographic representation |
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| Authors: | Vladimir N Chernega Vladimir I Man’ko and Boris I Sadovnikov |
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| Institution: | 1.Faculty of Physics,M. V. Lomonosov Moscow State University,Vorob’evy Gory,Moscow,Russia;2.P. N. Lebedev Physical Institute,Russian Academy of Sciences,Moscow,Russia |
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| 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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