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The Two-Dimensional Electrostatic Solutions of Born's new Field Equations

Published online by Cambridge University Press:  24 October 2008

M. H. L. Pryce
M. H. L. Pryce
Affiliation:
Trinity College
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Extract

The general solution of Born's new field equations is found for the two-dimensional electrostatic case, by which the coordinates are expressed as functions of the field vectors, Conditions for inversion are discussed. Special cases are worked out, namely: singnle charge, two charges, charge in a constant field. Expressions are given for forces acting on the charges. A singular solution is also discussed, with reference to the neutron. The implication of the solutions on the general theory and the equations of motion is discussed in the conclusion.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 31 , Issue 1 , January 1935 , pp. 50 - 68
Copyright
Copyright © Cambridge Philosophical Society 1935

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References

† Born, M., Proc. Roy. Soc. 143 (1934), 410CrossRefGoogle Scholar, or in a more explicit form: Born, M. and Infeld, L., Proc. Roy. Soc. 144 (1934), 425.CrossRefGoogle Scholar

‡ M. Born and L. Infeld, loc. cit. 434, equation (3·6).

† M. Born, loc. cit. 430; M. Born and L. Infeld, loc. cit. 438.

† M. Born and L. Infeld, loc. cit. p. 445.