Here are the MATLAB code demonstrated in the TA session
rabi.m demonstrates the numerical solution of the Rabi oscillator using RK4, the default parameter choices show how, at near resonance, the system moves from its initial state almost completely into the other state and back again.
harmonicOscillator.m: Calculate eigenfunctions for harmonic oscillator
hydrogen3dFD.m: Calculate eigenfunctions for 3D hydrogen atom
plotHydrogen.m: Plot eigenfunctions of 3D hydrogen atom
proj_demo.m: demonstrates both the application and explicit construction of the density matrix (spectral projector) via contour integration.
hellium.m: Calculate the ground state energy of a Hellium atom by solving Kohn-Sham density functional theory.
periodicSolid.m: Calculate the band structure for a 1D crystal