Hamiltonian formulation of the classical two-charge problem in straight-line approximation
- 1 September 1975
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (9) , 1844-1856
- https://doi.org/10.1063/1.522761
Abstract
The Newtonian equations of motion expressing the interaction of electric charges correct up to terms of order e2, the product of the charges, is cast into Hamiltonian form. Lorentz transformations are canonically represented to order e2, but as anticipated by the zero‐interaction theorem, there is no canonical transformation from the canonical variables to the charges’ physical positions.Keywords
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