Part I - The Action Integral in Quantum Mechanics1. Schrödinger's equation and the action2. Action, FEM and BCs3. Element geometries for 2D and 3D4. Boundary conditions at material interfaces5. Accidental degeneracy in cubic semiconductor quantum dotsPart II - Quantum Scattering6. Quantum scattering in 1D revisited7. 2D quantum waveguides8.

Quantum scattering in 2D waveguides9. Open domain quantum scattering with sources and absorbersPart III - Wavefunction Engineering10. Wavefunction engineering of semiconductor nanostructures11. Schrödinger-Poisson self-consistency in layered semiconductor nanostructuresPart IV - Steady-state current distributions12. The Extraordinary Magneto-Resistance effect in metal- semiconductor structures13. Read-head design based on the EMR effectPart V - Electrodynamics14. Fields in electromagnetic waveguides15. Modeling photonic crystals with Hermite FEM16.

Cavity Electrodynamics and symmetries17. Dimensional continuation of EM singularities in structures with re-entrant geometry18. The gauge degree of freedom in ElectrodynamicsPart VI - Further applications of FEMA. Derivation of shape functions using group theoryB. Shape functions for 1D, 2D, and 3D finite elementsC. Hermite Least Squares Data Fitting.