Geometric formulation of lagrangian mechanics and symmetries
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Date
2011.
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Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011.
Abstract
We start the thesis by covering the geometric formulation of time-independent and time-dependent Lagrangian mechanics and the concept of dynamical symmetry. Then we give two applications. First we review and tie together the results given between alternative Lagrangians, constants of motion and symmetries using Cartan 2-forms. Then it is followed by theory of connections and geometric mechanics applied to the Dirac monopole problem.