Advanced Quantum Mechanics: Materials and Photons

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.