Abstract
The well-known application of the Lorentz transformation to the exactly relativistic Coulomb force in order to derive the force on a charge due to another in uniform motion is extended to arbitrary Lorentz-invariant one-body problems. It is shown that the result, in addition to being the force on m1 from uniformly moving m2, is, to first order in coupling strength, the Lorentz-invariant force on m1 when m2 is unconstrained and the two particles interact. Some attention is paid to Lagrangians for exactly relativistic one-body problems, and a new construction of Darwin-like 1/c2 corrections to nonrelativistic Lagrangians for a variety of interactions is presented. Among these is the EIH Lagrangian of general relativity, whence follows an interesting point concerning special relativistic gravitation.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
