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Relativistic quantum and classical kinetic equations in the tomographic-probability representation

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Journal of Russian Laser Research Aims and scope

Abstract

Using the Radon integral transform of the relativistic kinetic equation for a spin-zero particle, we obtain the classical and quantum evolution equations for the tomographic probability density (tomogram) describing the states of the particle in both the classical and quantum pictures. The Green functions (propagators) of the evolution equations of a free particle are constructed. The examples of the evolution of Gaussian tomogram is considered.

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Authors and Affiliations

  1. Faculty of Physics, M. V. Lomonosov Moscow State University, Vorob’evy Gory, Moscow, 119992, Russia

    Vladimir N. Chernega

  2. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect, 53, Moscow, 119991, Russia

    Vladimir I. Man’ko

Authors
  1. Vladimir N. Chernega
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  2. Vladimir I. Man’ko
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Correspondence to Vladimir N. Chernega.

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Chernega, V.N., Man’ko, V.I. Relativistic quantum and classical kinetic equations in the tomographic-probability representation. J Russ Laser Res 29, 43–48 (2008). https://doi.org/10.1007/s10946-008-0003-5

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  • DOI: https://doi.org/10.1007/s10946-008-0003-5

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