Applied Mathematical Physics

Course Description

Covers mathematical methods and their applications that are required for understanding physics such as quantum mechanics, electromagnetism and classical mechanics. The content is as follows: 1) differential equations (Schrodinger equations, Maxwell equation, diffusion equation, Helmholtz equation); 2) Eigen-value problems (Sturm-Liouville theory, Gram-Schmidt orthogonalization); 3) function of a complex variable (Cauchy’s integral theorem, Laurent expansion); 4) integral transforms (Fourier transform, Laplace transform, Bromwich-Wagner integrals); 5) integral equations (Green function); 6) method of variations (Euler equation, Lagrange equation); 7) special functions (associated Legendre functions, Bessel functions); 8) group theory. For majors and non-majors who want to learn mathematical methods in physics such as quantum mechanics and electromagnetic theory. Prerequisites: undergraduate course in electricity and magnetism or mechanics, differential equations.

Code

PHYS 514

Credits

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Subject

PHYS