Fractional Dynamics of Relativistic Particle |
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Authors: | Vasily E Tarasov |
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Institution: | 1.Skobeltsyn Institute of Nuclear Physics,Moscow State University,Moscow,Russia |
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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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Keywords: | |
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