پروژه 24

 

1 Introduction
2 Some Properties of Groups
3 Introduction to Lie Groups
4 Permutation Groups
5 Electrons on Periodic Lattices
6 The Rotation Group
7 Classification of Lie Algebras
8 Unitary and Special Unitary Groups
9 SU(3) Flavor Symmetry
10 Harmonic Oscillators and SU(3)
11 SU(3) Matrix Elements
12 Introduction to Non-Compact Groups
13 The Lorentz Group
14 Lorentz-Covariant Fields
15 Poincaré Invariance
16 Gauge Invariance
17 Spontaneous Symmetry Breaking
18 The Higgs Mechanism
19 The Standard Model
20 Dynamical Symmetry
21 Generalized Coherent States
22 Restoring Symmetry by Projection
23 Quantum Phase Transitions
24 Topology, Manifolds, and Metrics
25 Topological Solitons
26 Geometry and Gauge Theories
27 Geometrical Phases
28 Topology of the Quantum Hall Effect
29 Topological Matter
30 Angular Momentum Recoupling
31 Nuclear Fermion Dynamical Symmetry
32 Superconductivity and Superfluidity
33 Current Algebra
34 Grand Unified Theories