期刊
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
卷 49, 期 2, 页码 293-303出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10773-009-0202-z
关键词
Fractional derivative; Fractional dynamics; Relativistic dynamics; Relativistic particle; Nonholonomic constraints; Dissipation
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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