Constant of motion, Hamiltonian, and Lagrangian for autonomous systems defined in a hyperbolic flat space
Technical Report
·
OSTI ID:10189016
The Lagrangian, the Hamiltonian, and the Generalized Linear Momentum of an autonomous dynamical system defined in a hyperbolic flat space are studied in terms of a constant of motion associated with this system. Some restrictions in the symmetry of the Lagrangian are required in order for the Euler-Lagrange equations to be satisfied. The one-dimensional relativistic motion is given as an example of the approach.
- Research Organization:
- Superconducting Super Collider Lab., Dallas, TX (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC35-89ER40486
- OSTI ID:
- 10189016
- Report Number(s):
- SSCL-Preprint--150; ON: DE93002046
- Country of Publication:
- United States
- Language:
- English
Similar Records
Constant of motion, Hamiltonian, and Lagrangian for autonomous systems defined in a hyperbolic flat space
Constant of motion for a one-dimensional and nth-order autonomous system and its relation to the Lagrangian and Hamiltonian
Hamiltonian and Lagrangian for {ital N}-dimensional autonomous systems
Technical Report
·
Tue Sep 01 00:00:00 EDT 1992
·
OSTI ID:6915010
Constant of motion for a one-dimensional and nth-order autonomous system and its relation to the Lagrangian and Hamiltonian
Technical Report
·
Tue Nov 30 23:00:00 EST 1993
·
OSTI ID:71708
Hamiltonian and Lagrangian for {ital N}-dimensional autonomous systems
Journal Article
·
Thu Oct 31 23:00:00 EST 1996
· Annals of Physics (New York)
·
OSTI ID:463410