Physics

Periodic motions: General introduction to periodic motion, Simple harmonic motion (SHM), Equation of motion for SHM The superposition of periodic motions: Superposition of 2-vibrations, beats, Lissajous figures, Superposition of N-vibrations Free & forced vibrations and Resonance: Undamped and damped free vibrations, Forced vibrations, resonance, Practical examples of resonance Normal modes and Fourier analysis: Coupled oscillations, Normal modes for 2-coupled oscillators, Normal modes for N-coupled oscillators, Fourier transforms and normal mode analysis Waves and dispersion: Wave equation, Superposition of waves, Phase and group velocity, Dispersion.

Blackbody radiation and the concept of photon,Quantum mechanical operators, Schroedinger equation, Wave function, Statistical interpretation, Superposition Principle, Continuity equation for probability density, Stationary states, Bound states, Free-particle solution, 1-D infinite potential well, Expectation values and uncertainty relations, 1-D finite potential well, Quantum mechanical tunneling, Kronig-Penny model and emergence of bands.