Advanced Analytic Methods with Applications
Prof. Dio Margetis (
, x 5
electron elastic scattering
in quantum electrodynamics: What is the
total scattering cross section in the limit of
Temperature around a plate (red:
hot, to blue: cold). This can be derived by
solving a singular integral eqn.
as well as
quantum field theories
. Applications from: fluid mechanics,
elasticity, electromagnetism, atomic and particle physics.
Green’s functions and boundary value problems in classical mechanics.
Integral equations: Fredholm eqns; the Wiener
Lagrangian formulation: action principle; symmetries.
Perturbation theory: Born
Neumann series and extensions.
Mathematical elements of quantum mechanics.
Quantum fields: Basic notions; canonical quantization; invariance
properties and gauge transformations; Yang
Mills gauge field theories.
Calculus of Feynman diagrams: The S
analytical properties; high
UMCP Department of Mathematics
the Math Department offers the graduate course…