Laplace-Runge-Lenz symmetry in general rotationally symmetric systems

Details Laplace-Runge-Lenz symmetry in general rotationally symmetric systems Laplace-Runge-Lenz symmetry in general rotationally symmetric systems

2010-05-11

arxiv.org/abs/1005.1817v2

Physics

Mathematical Physics

Scientific paper

The universality of the Laplace-Runge-Lenz symmetry in all rotationally symmetric systems is discussed. The independence of the symmetry on the type of interaction is proven using only the most generic properties of the Poisson brackets. Generalized Laplace-Runge-Lenz vectors are definable to be constant (not only piece-wise conserved) for all cases, including systems with open orbits. Applications are included for relativistic Coulomb systems and electromagnetic/gravitational systems in the post-Newtonian approximation. The evidence for the relativistic origin of the symmetry are extended to all centrally symmetric systems.

Affiliated with

Also associated with

No associations

Rating

Laplace-Runge-Lenz symmetry in general rotationally symmetric systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Laplace-Runge-Lenz symmetry in general rotationally symmetric systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Laplace-Runge-Lenz symmetry in general rotationally symmetric systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-384587