The Symmetries of Equivalent Lagrangian Systems and Constants of Motion | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| Article 7, Volume 22, Issue 1, January 0, Pages 63-132 PDF (270.03 K) | ||
| Author | ||
| N. Elyasi | ||
| Abstract | ||
| In this paper Mathematical structure of time-dependent Lagrangian systems and their symmetries are extended and the explicit relation between constants of motion and infinitesimal symmetries of time-dependent Lagrangian systems are considered. Starting point is time-independent Lagrangian systems ,then we extend mathematical concepts of these systems such as equivalent lagrangian systems to the case of time-dependent Lagrangian systems. Also some new theorems and corollaries will be proved. Finally we make a 1-1 correspondence between the symmetries of equivalent time-dependent lagrangian systems and constants of motion by the new geometric concept of Galilean space-time. | ||
|
Statistics Article View: 1,524 PDF Download: 1,765 |
||