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Mathematical Concepts of Quantum Mechanics [2011]

1
Physical Background
2
Dynamics
3
Observables
4
Quantization
5
Uncertainty Principle and Stability of Atoms and Molecules
6
Spectrum and Dynamics
7
Special Cases
8
Bound States and Variational Principle
9
Scattering States
10
Existence of Atoms and Molecules
11
Perturbation Theory: Feshbach-Schur Method
12
General Theory of Many-particle Systems
13
Self-consistent Approximations
14
The Feynman Path Integral
15
Quasi-classical Analysis
16
Resonances
17
Quantum Statistics
18
The Second Quantization
19
Quantum Electro-Magnetic Field - Photons
20
Standard Model of Non-relativistic Matter and Radiation
21
Theory of Radiation
22
Renormalization Group
23
Mathematical Supplement: Spectral Analysis
24
Mathematical Supplement: The Calculus of Variations
25
Comments on Literature, and Further Reading
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