Motion of a relativistic charge in electromagnetic field. (Q1395244)

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scientific article; zbMATH DE number 1940625
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Motion of a relativistic charge in electromagnetic field.
scientific article; zbMATH DE number 1940625

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    Motion of a relativistic charge in electromagnetic field. (English)
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    1 July 2003
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    The authors analyze an initial-boundary value problem for the system of nonlinear differential equations governing the dynamics of a relativistic charge moving in the electromagnetic field defined as a superposition of a copropagating plane wave and steady magnetic field parallel to the propagation direction. Analytical expressions are derived in the form of a uniform convergent Fourier series describing the change in the charge energy and coordinates.
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    relativistic charge
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    motion
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    electromagnetic field
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    initial-boundary value problem
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    Fourier series
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    analytic solution
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    energy
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