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arXiv · 1107.5749

Fractional Dynamics of Relativistic Particle

Vasily E. Tarasov
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Abstract

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_μ u^μ+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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Vasily E. Tarasov. 2011-07-28. Fractional Dynamics of Relativistic Particle. https://doi.org/10.1007/s10773-009-0202-z

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