Steady steps taken, mission will be accomplished!
Content:
- Classical Mechanics and Field Theory
- Newton’s Laws and Lagrangian Mechanics
- Hamiltonian Mechanics and Phase Space
- Classical Fields and the Principle of Least Action
- Euler-Lagrange Equations and Noether’s Theorem
- Special Relativity
- Lorentz Transformations and Minkowski Space
- Four-Vectors and Relativistic Kinematics
- Energy-Momentum Relations
- Quantum Mechanics
- Wave-Particle Duality and Schrödinger’s Equation
- Operators, Eigenstates, and Quantum States
- Heisenberg Uncertainty Principle
- Path Integral Formulation
- Canonical Quantization
- Creation and Annihilation Operators
- Quantum Harmonic Oscillator
- Quantization of Scalar Fields
- Interacting Quantum Fields
- Perturbation Theory and Feynman Diagrams
- Scattering Amplitudes and Cross-sections
- S-Matrix and Feynman Rules
- Renormalization and Regularization
- Gauge Theories
- Gauge Invariance and Gauge Transformations
- Quantum Electrodynamics (QED)
- Quantum Chromodynamics (QCD)
- Electroweak Theory and the Higgs Mechanism
- Fermions and Spinors
- Dirac Equation and Spin-1/2 Fields
- Quantum Field Theory of Fermions
- Fermion Path Integrals and Grassmann Variables
- Advanced Topics
- Non-perturbative Effects and Instantons
- Anomalies and Topological Field Theories
- Quantum Field Theory in Curved Spacetime
- Applications
- Particle Physics and the Standard Model
- Condensed Matter Physics and Many-Body Systems
- Cosmology and the Early Universe
- Current Research
- Beyond the Standard Model Theories
- Quantum Gravity and String Theory
- Quantum Field Theory on the Lattice
Naixian Zhang 