Physics – Mathematical Physics
Scientific paper
2009-04-19
Physics
Mathematical Physics
29 pages, 3 figures
Scientific paper
A new approach to relativistic mechanics is proposed, suitable to describe dynamics of different kinds of relativistic particles. Mathematically it is based on an application of the recent geometric theory of nonholonomic systems on fibred manifolds. A setting based on a natural Lagrangian and a constraint on four-velocity of a particle is proposed, that allows a unified approach to particles with any (positive/negative/zero) square of mass. The corresponding equations of motion are obtained and discussed. In particular, new forces are found (different from the usual Lorentz force type term), arising due to the nonholonomic constraint. A possible meaning and relation with forces previously proposed by Dicke is discussed. In particular, equations of motion of tachyons and of massless particles are studied and the corresponding dynamics are investigated.
Krupkova Olga
Musilova Jana
No associations
LandOfFree
The relativistic mechanics in a nonholonomic setting: A unified approach to particles with non-zero mass and massless particles 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 The relativistic mechanics in a nonholonomic setting: A unified approach to particles with non-zero mass and massless particles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The relativistic mechanics in a nonholonomic setting: A unified approach to particles with non-zero mass and massless particles will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-173598