The Coulomb potential of a line of charges

The Coulomb potential of a line of charges

Physica A 196 (1993) 255-257

Recently Lekner gave formulae for the total Coulomb force and potential on a charged particle due to a line of other charged particles, and showed how to use it for a regular array of charges in two or three dimensions. His method involves a series in terms of the Bessel function $K_0$ which converges fast for points sufficiently far from the line. This paper gives an integral which can be evaluated faster for points close to the line.

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