ENERGY CONSERVING NON-RELATIVISTIC GUIDING CENTER MECHANICS AND THE GALILEAN PRINCIPLE OF RELATIVITY
Arguments and representative examples are given that suggest that exact energy conservation and Galilei invariance are incompatible in non-relativistic guiding center mechanics. Provided that this is true in general it also follows that exact energy conservation and Lorentz invariance are incompatible in relativistic guiding center mechanics. It would furthermore follow that every guiding non-center mechanics with exact energy conservation is a unique theory owing to the principle of relativity. The paper also presents a Galilei invariant guiding center mechanics that does not conserve energy.
Bibliographic Reference: ZEITSCHRIFT FUER NATURFORSCHUNG, VOL. 38A (1983), PP. 841-847
Record Number: 1989122084100 / Last updated on: 1987-01-01
Available languages: en