Abstract
A method due to Hale and Stokes [3] proving the existence of solutions of the classical relativistic equation of motion of an electron in a given electromagnetic field is extended to the two-electron problem. A lower bound of the impact parameter assures the applicability of the method.
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Literatur
Dirac, P. A. M.: Proc. Roy. Soc. (Lond.) A167, 148 (1938).
Rohrlich, F.: Classical charged particles. Reading/Mass.: Addison-Wesley 1965.
Hale, J. K., Stokes, A. P.: J. Math. Phys.3, 70 (1962).
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Flume, R. Ein Existenzbeweis für Lösungen des klassischen Zweielektronenproblems. Commun.Math. Phys. 20, 111–122 (1971). https://doi.org/10.1007/BF01646530
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DOI: https://doi.org/10.1007/BF01646530