Abstract
The dynamical symmetry of the non-relativistic Kepler problem has
attracted much attention in the scientific literature. In the
present paper, we show that the Runge-Lenz vector, which accounts
for the presence of this symmetry, has its physical origin in the
generator of Lorentz transformations for the relativistic two-body
problem. We reach this conclusion by considering the relativistic
two-body problem, for the electromagnetic as well as for the
gravitational interaction, in the 1/c2 approximation.
| Original language | English |
|---|---|
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 30 |
| Issue number | 19 |
| Pages (from-to) | 6831-6840 |
| ISSN | 0305-4470 |
| Publication status | Published - 1997 |