Back to Search
Start Over
CARTESIAN AND LAGRANGIAN MOMENTUM.
- Source :
-
Foundations of Physics Letters . Aug2005, Vol. 18 Issue 4, p371-378. 8p. - Publication Year :
- 2005
-
Abstract
- Historical, physical, and geometrical relations between two different momenta, characterized here as Cartesian and Lagrangian, are explored. Cartesian momentum is determined by the mass tensor, and gives rise to a kinematical geometry. Lagrangian momentum, which is more general, is given by the fiber derivative, and produces a dynamical geometry. This differs from the kinematical in the presence of a velocity-dependent potential. The relation between trajectories and level surfaces in Hamilton-Jacobi theory can also be Cartesian and kinematical or, more generally, Lagrangian and dynamical. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08949875
- Volume :
- 18
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Foundations of Physics Letters
- Publication Type :
- Academic Journal
- Accession number :
- 18049275
- Full Text :
- https://doi.org/10.1007/s10702-005-7126-5