The Symmetries of Equivalent Lagrangian Systems and Constants of Motion
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نویسنده
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Broojerdian N. ,Elyasi N.
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منبع
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journal of sciences islamic republic of iran - 2011 - دوره : 22 - شماره : 1 - صفحه:63 -70
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چکیده
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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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کلیدواژه
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Lagrangian system; Hamiltonian system; Constant of motion; Symmetries of Lagrangian systems; Infinitesimal symmetries
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آدرس
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amirkabir university of technology, Department of Math & Computer Sciences, ایران, amirkabir university of technology, Department of Math & Computer Sciences, ایران
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پست الکترونیکی
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elyasi82@aut.ac.ir
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