Part I - The Action Integral in Quantum Mechanics 1. Schrödinger's equation and the action 2. Action, FEM and BCs 3. Element geometries for 2D and 3D 4. Boundary conditions at material interfaces 5. Accidental degeneracy in cubic semiconductor quantum dots Part II - Quantum Scattering 6. Quantum scattering in 1D revisited 7. 2D quantum waveguides 8.

Quantum scattering in 2D waveguides 9. Open domain quantum scattering with sources and absorbers Part III - Wavefunction Engineering 10. Wavefunction engineering of semiconductor nanostructures 11. Schrödinger-Poisson self-consistency in layered semiconductor nanostructures Part IV - Steady-state current distributions 12. The Extraordinary Magneto-Resistance effect in metal- semiconductor structures 13. Read-head design based on the EMR effect Part V - Electrodynamics 14. Fields in electromagnetic waveguides 15. Modeling photonic crystals with Hermite FEM 16.

Cavity Electrodynamics and symmetries 17. Dimensional continuation of EM singularities in structures with re-entrant geometry 18. The gauge degree of freedom in Electrodynamics Part VI - Further applications of FEM A. Derivation of shape functions using group theory B. Shape functions for 1D, 2D, and 3D finite elements C. Hermite Least Squares Data Fitting.