Stony Brook University 3 credits MAT
Classical mechanics: Lagrangian and Hamiltonian formalism, Hamiltonian group actions. Special relativity and Lorentz and Poincare groups. Classical field theories: Lagrangian and Hamiltonian formulation, Noether theorem, examples. Relativistic theories. Gauge theories: electrodynamics and Yang-Mills theories. General relativity: Einstein-Hilbert action, Einstein equations and Schwarzchild solution. Optional topics may include: Chern-Simons and topological field theories; Classical theory of spinor fields and supergeometry. 3 credits Grading Letter graded (A, A-, B+, etc.)
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