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Journal of Sciences Islamic Republic of Iran، جلد ۲۲، شماره ۱، صفحات ۶۳-۱۳۲
عنوان فارسی The Symmetries of Equivalent Lagrangian Systems and Constants of Motion
چکیده فارسی مقاله 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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عنوان انگلیسی The Symmetries of Equivalent Lagrangian Systems and Constants of Motion
چکیده انگلیسی مقاله 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.
کلیدواژه‌های انگلیسی مقاله Infinitesimal symmetries, Lagrangian system, Symmetries of Lagrangian systems, Hamiltonian system, Constant of motion
نویسندگان مقاله N. Elyasi |
Amirkabir University of Technology

نشانی اینترنتی https://jsciences.ut.ac.ir/article_22214_95e14ab8a13e141de4deda070f30dd1b.pdf
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