Fractional Dynamics of Relativistic Particle

Details Fractional Dynamics of Relativistic Particle Fractional Dynamics of Relativistic Particle

2011-07-28

arxiv.org/abs/1107.5749v1

International Journal of Theoretical Physics 49 (2010) 293-303

Physics

Plasma Physics

Scientific paper

Fractional dynamics of relativistic particle is discussed. Derivatives of fractional orders with respect to proper time describe long-term memory effects that correspond to intrinsic dissipative processes. Relativistic particle subjected to a non-potential four-force is considered as a nonholonomic system. The nonholonomic constraint in four-dimensional space-time represents the relativistic invariance by the equation for four-velocity u_{\mu} u^{\mu}+c^2=0, where c is a speed of light in vacuum. In the general case, the fractional dynamics of relativistic particle is described as non-Hamiltonian and dissipative. Conditions for fractional relativistic particle to be a Hamiltonian system are considered.

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