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Whittaker Order Reduction Method of Relativistic Birkhoffian Systems
- Source :
- Communications in Theoretical Physics. 42:817-820
- Publication Year :
- 2004
- Publisher :
- IOP Publishing, 2004.
-
Abstract
- The order reduction method of the relativistic Birkhoffian equations is studied. For a relativistic autonomous Birkhoffian system, if the conservative law of the Birkhoffian holds, the conservative quantity can be called the generalized energy integral. Through the generalized energy integral, the order of the system can be reduced. If the relativistic Birkhoffian system has a generalized energy integral, then the Birkhoffian equations can be reduced by at least two degrees and the Birkhoffian form can be kept. The relations among the relativistic Birkhoffian mechanics, the relativistic Hamiltonian mechanics and the relativistic Lagrangian mechanics are discussed, and the Whittaker order reduction method of the relativistic Lagrangian system is obtained. And an example is given to illustrate the application of the result.
- Subjects :
- Physics
Hamiltonian mechanics
symbols.namesake
Classical mechanics
Physics and Astronomy (miscellaneous)
Order reduction
Astrophysics::High Energy Astrophysical Phenomena
Lagrangian system
Nuclear Theory
symbols
Relativistic Lagrangian mechanics
Computer Science::Databases
Mathematical physics
Subjects
Details
- ISSN :
- 02536102
- Volume :
- 42
- Database :
- OpenAIRE
- Journal :
- Communications in Theoretical Physics
- Accession number :
- edsair.doi...........1c24c39414bbedfddea2464cfa3b9f46