Advanced Quantum Mechanics

The Need for Quantum Mechanics.- Self-adjoint Operators and Eigenfunction Expansions.- Simple Model Systems.- Notions from Linear Algebra and Bra-Ket Formalism.- Formal Developments.- Harmonic Oscillators and Coherent States.- Central Forces in Quantum Mechanics.- Spin and Addition of Angular Momentum Type Operators.- Stationary Perturbations in Quantum Mechanics.- Quantum Aspects of Materials I.- Scattering Off Potentials.- The Density of States.- Time-Dependent Perturbations in Quantum Mechanics.- Path Integrals in Quantum Mechanics.- Coupling to Electromagnetic Fields.- Principles of Lagrangian Field Theory.- Non-relativistic Quantum Field Theory.- Quantization of the Maxwell Field: Photons.- Quantum Aspects of Materials II.- Dimensional Effects in Low-dimensional Systems.- Relativistic Quantum Fields.- Applications of Spinor QED.

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• A física quântica (mecânica quântica e teoria quântica de campos)
• Física óptica
• Nanotecnologia
• Nanotecnologia
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