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Elyasi, N.. (1389). The Symmetries of Equivalent Lagrangian Systems and Constants of Motion. , 22(1), 63-132.
N. Elyasi. "The Symmetries of Equivalent Lagrangian Systems and Constants of Motion". , 22, 1, 1389, 63-132.
Elyasi, N.. (1389). 'The Symmetries of Equivalent Lagrangian Systems and Constants of Motion', , 22(1), pp. 63-132.
Elyasi, N.. The Symmetries of Equivalent Lagrangian Systems and Constants of Motion. , 1389; 22(1): 63-132.

The Symmetries of Equivalent Lagrangian Systems and Constants of Motion

Journal of Sciences, Islamic Republic of Iran
مقاله 7، دوره 22، شماره 1، خرداد 2011، صفحه 63-132    اصل مقاله (270.03 K)
نویسنده
N. Elyasi
Amirkabir University of Technology
چکیده
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.
کلیدواژه‌ها
Infinitesimal symmetries؛ Lagrangian system؛ Symmetries of Lagrangian systems؛ Hamiltonian system؛ Constant of motion
عنوان مقاله [English]
The Symmetries of Equivalent Lagrangian Systems and Constants of Motion
نویسندگان [English]
N. Elyasi
چکیده [English]
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.
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