Introduction to Quantum ChaosCovers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.
Wave Equations: Vibrating StringExplores the wave equation for a vibrating string and its numerical solution using finite difference formulas and the Newmark scheme in MATLAB/GNU Octave.
Queueing Theory: M/G/1 QueueCovers the M/G/1 queue in stochastic models for communications, analyzing system performance metrics and steady-state analysis.
Quantum EigenfunctionsCovers quantum eigenfunctions and the importance of A and B commuting for the same set of eigenfunctions.
Signal Processing FundamentalsExplores signal processing fundamentals, including discrete time signals, spectral factorization, and stochastic processes.
Separation of VariablesExplores the concept of separation of variables in quantum mechanics and its application in solving differential equations.
Quantum Mechanics: BasicsIntroduces the basics of quantum mechanics, covering wave functions, operators, and the uncertainty principle.