1.The One-Dimensional Quantum Spin Chain1.1 The S = 1/2 XXZ Spin Chain1.2 The Jordan-Wigner Transformation and the Quantum Kink1.3 The Bethe Ansatz and the Exact Solution2.Quantum Field Theory in 1+1 Dimensions2.1 Bosonization2.2 Conformal Field Theory2.3 The Non-linear Sigma Model3.Strongly Correlated Electronic Systems3.1 Models of Strongly Correlated Electronic Systems3.2 Spin-Charge Separation in One Dimension3.3 Magnetic Ordering in Strongly Correlated Electronic Systems3.4 Self-consistent Renormalization Theory4.Local Electron Correlation4.1 The Kondo Effect4.2 Dynamical Mean Field Theory5.Gauge Theory of Strongly Correlated Electronic Systems5.1 Gauge Theory of Quantum Anti-ferromagnets5.2 Gauge Theory of the Doped Mott Insulator5.3 Gauge Theory of Quantum Hall LiquidsAppendixA.Complex FunctionsA.1 Projection from the z-Plane to the w-PlaneA.2 Contour Integral of f（z） Around the Path CB.The Variational Principle and the Energy-Momentum TensorLiteratureIndex
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