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Green Functions in Electrostatics
This lecture covers methods to construct Green functions in electrostatics, including the image charge method and expansion in eigenfunctions of Laplacian. The instructor explains how to determine the Green function using these methods and discusses the concepts of Dirichlet and Neumann boundary conditions. The lecture also delves into the expansion in eigenfunctions, aiming to find the Green function under different boundary conditions. Various papers and essentials related to eigenfunctions and eigenvalues are presented, emphasizing orthogonality and completeness. The lecture concludes with practical examples and applications of Green functions in electrostatics.