Analytic Continuation: Residue Theorem

Related lectures (30)

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Analyzes Coulomb collisions between charged particles and the conservation of energy, momentum, and angular momentum.

Explores the propagation and modes of plasma waves, including R- and L-waves, Langmuir waves, and Faraday rotation.

Covers the MHD plasma approximation, discussing macroscopic phenomena and phase velocities.

Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.

Covers random walk simulation, mean displacement, and diffusion coefficient calculations for weakly ionized particles.

Explores the Vlasov-Maxwell system for analyzing plasma waves in an unmagnetized plasma.

Discusses complex integration techniques for calculating Fourier transforms and introduces the Laplace transform's applications.

Covers the concept of Landau damping in plasma physics, focusing on the interaction between waves and particles.

Discusses the residue theorem and its applications in calculating complex integrals.

Explores non-linear phenomena in plasma physics, focusing on ion acoustic waves and the Korteweg de Vries equation.