A Theoretical Introduction
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Computational Electrodynamics is a vast research field with a wide variety of tools. In physics the principle of gauge invariance plays a pivotal role as a guide towards a sensible formulation of the laws of nature as well as computing the propert...
I. General Formalism.- 1. The Many Faces of Transport.- 2. Classical Mechanics.- 3. Mathematical Interlude.- 4. Quantum Mechanics.- 5. Single-Particle Quantum Mechanics.- 6. Second Quantization.- 7. Equilibrium Statistical Mechanics.- 8. Non-equilibrium Statistical Mechanics.- 9. Wigner Distribution Functions.- 10. Balance Equations.- II. Applications.- 11. VelocityField Characteristics of a Silicon MOSFET.- 12. Gate Leakage Currents.- 13. Quantum Transport in Vertical Devices.- 14. An Exactly Solvable ElectronPhonon System.- 15. Open Versus Closed Systems.- 16. Conductance Quantization.- 17. Transport in Quantum Wires.- 18. Future Work.- References.