The Two-Dimensional Electrostatic Solutions of Born's new Field Equations
- 1 January 1935
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 31 (1), 50-68
- https://doi.org/10.1017/s0305004100012937
Abstract
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.Keywords
This publication has 2 references indexed in Scilit:
- Foundations of the new field theoryProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1934
- On the quantum theory of the electromagnetic fieldProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1934