Fractional Liouville and BBGKI Equations

Abstract

We consider the fractional generalizations of Liouville equation. The normalization condition, phase volume, and average values are generalized for fractional case.The interpretation of fractional analog of phase space as a space with fractal dimension and as a space with fractional measure are discussed. The fractional analogs of the Hamiltonian systems are considered as a special class of non-Hamiltonian systems. The fractional generalization of the reduced distribution functions are suggested. The fractional analogs of the BBGKI equations are derived from the fractional Liouville equation.

arXiv comment20 pages

References in corpus (5)

• Fractional Generalization of Liouville Equations
• Fractional Differential Forms
• Quantization of non-Hamiltonian and Dissipative Systems
• Pure Stationary States of Open Quantum Systems
• Classical Canonical Distribution for Dissipative Systems

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