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Classical Field Theory

Author: Gleb Arutyunov
Url: http://www.phys.uu.nl/~arutyuno/CFT.pdf
Format: Pdf
Year: 2010
Category: Advanced Mechanics
Pages: 124
Clicks: 1355

The aim of the course is to introduce the basic methods of classical field theory and to apply them in a variety of physical models ranging from clas- sical electrodynamics to macroscopic theory of ferromagnetism. In particular, the course will cover the Lorentz-covariant formulation of Maxwell's electromagnetic the- ory, advanced radiation problems, the Ginzburg-Landau theory of superconductivity, hydrodynamics of ideal liquids, the Navier-Stokes equation and elements of soliton theory. The students will get acquainted with the Lagrangian and Hamiltonian de- scription of in¯nite-dimensional dynamical systems, the concept of global and local symmetries, conservation laws. A special attention will be paid to mastering the basic computation tools which include the Green function method, residue theory, Laplace transform, orthogonal polynomials and special functions.

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