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Constant of motion, Hamiltonian, and Lagrangian for autonomous systems defined in a hyperbolic flat space

Technical Report ·
OSTI ID:6915010
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:
DOE; USDOE, Washington, DC (United States)
DOE Contract Number:
AC35-89ER40486
OSTI ID:
6915010
Report Number(s):
SSCL-Preprint-150; ON: DE93002046
Country of Publication:
United States
Language:
English

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BEAM DYNAMICS
DIFFERENTIAL EQUATIONS
ENERGY RANGE
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EQUATIONS OF MOTION
FUNCTIONS
HAMILTONIANS
LAGRANGIAN FUNCTION
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
RELATIVISTIC RANGE
STORAGE RINGS
SUPERCONDUCTING SUPER COLLIDER