Department of Physics

10ΕΚ411 Mathematical Physics (postgraduate)

Course Webpage:   https://eclass.uoa.gr/courses/PHYS230

Course Content

• Special functions and orthogonal polynomials. Eigenfunction expansion. Laplace, Helmholtz, Poisson equations, diffusion equation.
• Conformal transformations and applications in electrostatics and fluid mechanics.
• Green functions. Propagators in quantum mechanics. Lippmann-Schwinger και Klein-Gordon equations. Path integral calculation of Green functions.
• Hilbert transform. Dispersion relations. Advanced complex integration techniques and their applications.
• Saddle point and stationary phase approximations. Asymptotic expansions.