本书共分9个章节，主要对磁性理论的相关知识点作了介绍，具体内容包括History of Magnetism、Quantum Theory of Angular Momentum、Magnetism and the Many-Body Problem等。该书可供各大专院校作为教材使用，也可供从事相关工作的人员作为参考用书使用。

Prologue

Chapter 1. History of Magnetism

 1.1. Physics and Metaphysics

 1.2. Gilbert and Descartes

 1.3. Rise of Modern Science

 1.4. Electrodynamics

 1.5. The Electron

 1.6. The Demise of Classical Physics

 1.7. Quantum Theoiy

 1.8. Modern Foundations

 1.9. Magnetic Bubbles

 1.10. Ultimate Thin Films

 1.11. Dilute Magnetic Alloys

 1.12. New Directions

Chapter 2. Currents or Spins?

 2.1. Charge Currents or Spins?

 2.2. The Magnetic Dipole

 2.3. The Magnetic Dipole-Dipole Interactions

 2.4. The Exchange Interactions

 2.5. Metals and Their Alloys

 2.6. Superconductivity

 2.7. The Need to Study Spin Angular Momentum

Chapter 3. Quantum Theory of Angular Momentum

 3.1. Kinetic Angular Momentum

 3.2. Spherical Harmonics

 3.3. Reason for Integer l and m

 3.4. Matrices cf Angular Momentum

 3.5. Pauli Spin Matrices

 3.6. Compounding Angular Momentum

 3.7. Equations of Motion of Interacting Angular Momenta

 3.8. Coupled Bosch Representation

 3.9. Rotations

 3.10. More on Compound Angular Momentum

 3.11. Other Representations

 3.12. Spins One-Half: Special Tricks

 3.13. Spins One

 3.14. Quadratic Forms

 3.15. Projection Operators

Chapter 4. Magnetism and the Many-Body Problem

 4.1. Hamiltonian Physics and Degeneracy

 4.2. The Pauli Principle

 4.3. The Two-Fermion Problem

 4.4. Electrons in One Dimension: A Theorem

 4.5. The Wronskian

 4.6. States cf Three Electrons

 4.7. Eigenfunctions cf Total S2 and Sz

 4.8. Hund's Rules

 4.9. p3 Configuration

 4.10. p2 and p4 Configurations

 4.11. Second Quantization 

 4.12. Double Exchange

 4.13. Superexchange

 4.14. Jellium

 4.15. Hubbard Model: An Introduction

 4.16. Nagaoka's Ferromagnetism

 4.17. One Dimension: Exact Solutions

 4.18. Ferrimagnetism

 4.19. Spin-Dependent Tunneling

Chapter 5. From Magnons to Solitons: Spin Dynamics

 5.1. Spin Waves as Harmonic Oscillators

 5.2. One-Magnon Eigenstates in Ferromagnets

 5.3. Two-Magnon States and Eigenstates in Ferromagnets

 5.4. Bound States in One Dimension

 5.5. Bound States in Two and Three Dimensions

 5.6. Antiferromagnetic Magnons: The One-Dimensional XY Model

 5.7. Bethe's Solution of One-Dimensional Heisenberg Antiferromagnet

 5.8. Linearized Antiferromagnetic Magnons

 5.9. Ferrimagnetism

 5.10. Some Rigorous Notions in Antiferro- and Ferri-Magnetism

 5.11. Vortices

 5.12. Solitons and Bloch Domain Walls: Introductory Material

 5.13. Solitary Wave Solution

 5.14. More on Magnetic Domains

 5.15. Time-Dependent Phenomena

 5.16. Majumdar-Ghosh Model and "Quantum Frustration"

 5.17. Integer Spins

 5.18. The AKLT Spin One Chain

 5.19. Defective Antiferromagnets

Chapter 6. Magnetism in Metals

 6.1. Bloch and Wannier States

 6.2. Tight-Binding

 6.3. Weak Magnetic Properties

 6.4. Exchange in Solids: Construction of a Model Hamiltonian

 6.5. Perturbation-Theoretic Derivation of Heisenberg Hamiltonian

 6.6. Heisenberg Hamiltonian in Metals

 6.7. Ordered Magnetic Metals: Deriving the Ground State

 6.8. Kondo Effect

 6.9. Spin Glasses

 6.10. Magnetism without Localized Spins: Preliminaries

 6.11. Degenerate Bands and Intra-Atomic Exchange Forces

 6.12. Magnons in Metals

 6.13. Marginal Magnetism of Impurities

 6.14. Correlations and Equivalence to s-d Model

 6.15. Periodic Anderson Model

Chapter 7. Statistical Thermodynamics

 7.1. Spins in a Magnetic Field

 7.2. The Partition Function

 7.3. The Concept of the Molecular Field

 7.4. Discontinuity in Specific Heat

 7.5. Magnetic Susceptibility and Spontaneous Magnetization

 7.6. Adiabatic Demagnetization

 7.7. Anti ferromagnetism

 7.8. Short-Ranged versus Long-Ranged Interactions

 7.9. Fermions, Bosons, and all that

 Fermions

 nosons

 Gaussian

 Legendre Transformations

 7.10. Gaussian and Spherical Models

 Gaussian Model

 Spherical Model

 Watson's Integrals Generalized

 7.11. Magnetic Susceptibility in Gaussian and Spherical Models

 7.12. Spherical Antiferromagnet

 7.13. Spherical Model Spin Glass

 Magnetic Properties of Spin Glass

 7.14. Thermodynamics of Magnons

 7.15. Magnetism in Two Dimensions

 7.16. The XY Model: 1D

 7.17. The XY Model: 2D

 7.18. Transfer Matrix of Plane Rotator Model

Chapter 8. The Ising Model

 8.1. High Temperature Expansions

 8.2. Graph Theory

 8.3. Low Temperature Expansions and the Duality Relations

 8.4. Peierls' Proof of Long Range Order

 8.5. 1D Ising Model in Longitudinal Fields

 8.6. 1D Ising Model in Transverse Fields

 8.7. ConcerningQuadratic Forms of Fermion Operators

 8.8. Two-Dimensional Ising Model: The Transfer Matrix

 8.9. Solution of Two-Dimensional Ising Model in Zero Field

 8.10. Spontaneous Magnetization and Magnetic Susceptibility

 8.11. Zeros of the Partition Function

 8.12. Miscellania, Including 2D Antiferromagnets

 8.13. The Three-Dimensional Ising Model

 8.14. Ising Gauge Glass

 8.15. Frustration

Chapter 9. Miscellaneous Advanced Topics

 9.1. Critical Phenomena

 9.2. Green Functions Formalism

 9.3. Nonlinear Responses and Chaos

 9.4. Kondo Phenomenon: The s-d Model Redux

 9.5. Scaling, Renormalization and Information Theory

Bibliography

Index