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Table of Contents Quantum Mechanics Electromagnetism Dynamics Condensed Matter Physics Thermal and Statistical TP1 TP2 Theories of Quantum Matter

Quantum Mechanics

• Bound states via the shooting method
• Time evolution using the split step method, of varying degrees of complexity
• Nonlinear Schrödinger equation for BEC

Electromagnetism

• Visualising electric and magnetic fields in 3D

Dynamics

• Falling slinky
• Darwin drift
• Stokes drift
• Van der Pol oscillator and limit cycles
• Poincaré section
• Billiards in irregular domains
• Stroposcopic evolution. Standard map. Baker's transformation.

Condensed Matter Physics

• Crystal structures

Thermal and Statistical

• Maxwell Boltzmann distribution
• Einstein solid
• Ising model
• Fermi--Pasta--Ulam--Tsingou systems and approach to equilibrium

TP1

• Regular and chaotic dynamics
• Visualising phase space
• Scale invariance of Brownian motion

TP2

• Dynamics on the Bloch sphere
• Condensation of Bose gas
• Visualising spinors on the Celestial sphere
• Thomas precession
• Rabi driving beyond RWA
• Landau-Zener-Majorana-Stueckelberg interferometry (multiple crossings)
• Mathematica sliders to illustrate the scattering solutions and length
• Two-site Bose-Hubbard model and the superfluid-Mott insulator transition

Theories of Quantum Matter

• Monte Carlo simulation of Laughlin wavefunctions.
• Spin waves in ferromagnets and antiferromagnets.