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Tomographic representation of kinetic equations in classical statistical mechanics

V.I. Man’ko$^1$, B.I. Sadovnikov$^2$, V.N. Chernega$^2$

Moscow University Physics Bulletin 2010. 65. N 5. P. 359

  • Article
Annotation

A tomographic representation of kinetic equations is constructed using the Radon transform. Liouville’s equation is considered for one and many particles. The reduced Liouville’s equation is obtained in the tomographic representation and the Bogolyubov chain is investigated in this representation. An example of the relativistic kinetic equation in the tomographic representation is considered.

Received: 2010 February 23
Approved: 2010 November 13
PACS:
03.65.-w Quantum mechanics
Authors
V.I. Man’ko$^1$, B.I. Sadovnikov$^2$, V.N. Chernega$^2$
$^1$Lebedev Physics Institute, Russian Academy of Sciences, Moscow, 119991, Russia
$^2$Faculty of Physics, Moscow State University, Moscow, 119991, Russia
Issue 5, 2010

Moscow University Physics Bulletin

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