Advanced Quantum Mechanics

Chapter1. The Need for Quantum Mechanics.- Chapter2. Self-adjoint Operators and Eigenfunction Expansions.- Chapter3. Simple Model Systems.- Chapter4. Notions from Linear Algebra and Bra-Ket Notation.- Chapter5. Formal Developments.- Chapter6. Harmonic Oscillators and Coherent States.- Chapter7. Central Forces in Quantum Mechanics.- Chapter8. Spin and Addition of Angular Momentum Type Operators.- Chapter9. Stationary Perturbations in Quantum Mechanics.- Chapter10. Quantum Aspects of Materials I.- Chapter11. Scattering Off Potentials.- Chapter12. The Density of States.- Chapter13. Time-dependent Perturbations in Quantum Mechanics.- Chapter14. Path Integrals in Quantum Mechanics.- Chapter15. Coupling to Electromagnetic Fields.- Chapter16. Principles of Lagrangian Field Theory.- Chapter17. Non-relativistic Quantum Field Theory.- Chapter18. Quantization of the Maxwell Field: Photons.- Chapter19. Epistemic and Ontic Quantum States.- Chapter20. Quantum Aspects of Materials II.- Chapter21.Dimensional Effects in Low-dimensional Systems.- Chapter22. Relativistic Quantum Fields.- Chapter23. Applications of spinor QED.

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• Física óptica
• Física da Matéria Condensada (física do estado sólido e estado líquido)
• A física quântica (mecânica quântica e teoria quântica de campos)
• Ciência dos materiais
• Física atómica e molecular

quantum aspects of materials;advanced quantum mechanics textbook;BCH formula;Lagrangian Field Theory;Mehler's formula;Noether theorem;Sturm-Liouville eigenfunctions;interpretations of quantum mechanics;degenerate perturbation theory;Moeller electron-electron scattering;Bloch's theorem;Wannier states;QED via quantization of classical fields