Fractional Systems and Fractional Bogoliubov Hierarchy Equations

Abstract

We consider the fractional generalizations of the phase volume, volume element and Poisson brackets. These generalizations lead us to the fractional analog of the phase space. We consider systems on this fractional phase space and fractional analogs of the Hamilton equations. The fractional generalization of the average value is suggested. The fractional analogs of the Bogoliubov hierarchy equations are derived from the fractional Liouville equation. We define the fractional reduced distribution functions. The fractional analog of the Vlasov equation and the Debye radius are considered.

arXiv comment12 pages

References in corpus (6)

• Fractional Generalization of Liouville Equations
• Fractional Differential Forms
• Quantization of non-Hamiltonian and Dissipative Systems
• Pure Stationary States of Open Quantum Systems
• Bosonic String in Affine-Metric Curved Space
• Classical Canonical Distribution for Dissipative Systems

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