Abstract
The total four-momentum Pμ and the total angular momentum tensor Mλμ for a classical point charged particle and its field are considered. The standard definition of Pμ and Mλμ is used as the integrals of their respective densities over a spacelike hyperplane orthogonal to the four-velocity of the particle. It is shown that the integral defining Pμ exists and is a conserved quantity, but that the integral defining Mλμ does not exist. The last result is due to the asymptotic behavior of the Coulomb field at spatial infinity.
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