磁性理論

內(nèi)容概要

　　《磁性理論》共分9個章節(jié)，主要對磁性理論的相關(guān)知識點作了介紹，具體內(nèi)容包括History of Magnetism、Quantum Theory of Angular Momentum、Magnetism and the Many-Body Problem等。《磁性理論》可供各大專院校作為教材使用，也可供從事相關(guān)工作的人員作為參考用書使用。

作者簡介

作者：(美)麥提斯

書籍目錄

PrologueChapter 1. History of Magnetism1.1. Physics and Metaphysics1.2. Gilbert and Descartes1.3. Rise of Modern Science1.4. Electrodynamics1.5. The Electron1.6. The Demise of Classical Physics1.7. Quantum Theoiy1.8. Modern Foundations1.9. Magnetic Bubbles1.10. Ultimate Thin Films1.11. Dilute Magnetic Alloys1.12. New DirectionsChapter 2. Currents or Spins?2.1. Charge Currents or Spins? 2.2. The Magnetic Dipole2.3. The Magnetic Dipole-Dipole Interactions2.4. The Exchange Interactions2.5. Metals and Their Alloys2.6. Superconductivity2.7. The Need to Study Spin Angular MomentumChapter 3. Quantum Theory of Angular Momentum3.1. Kinetic Angular Momentum3.2. Spherical Harmonics3.3. Reason for Integer l and m3.4. Matrices cf Angular Momentum3.5. Pauli Spin Matrices3.6. Compounding Angular Momentum3.7. Equations of Motion of Interacting Angular Momenta3.8. Coupled Bosch Representation3.9. Rotations3.10. More on Compound Angular Momentum3.11. Other Representations3.12. Spins One-Half: Special Tricks3.13. Spins One3.14. Quadratic Forms3.15. Projection Operators chapter 4. Magnetism and the Many-Body Problem4.1. Hamiltonian Physics and Degeneracy4.2. The Pauli Principle4.3. The Two-Fermion Problem4.4. Electrons in One Dimension: A Theorem4.5. The Wronskian4.6. States cf Three Electrons4.7. Eigenfunctions cf Total S2 and Sz4.8. Hund's Rules4.9. p3 Configuration4.10. p2 and p4 Configurations4.11. Second Quantization 4.12. Double Exchange4.13. Superexchange4.14. Jellium4.15. Hubbard Model: An Introduction4.16. Nagaoka's Ferromagnetism4.17. One Dimension: Exact Solutions4.18. Ferrimagnetism4.19. Spin-Dependent TunnelingChapter 5. From Magnons to Solitons: Spin Dynamics5.1. Spin Waves as Harmonic Oscillators5.2. One-Magnon Eigenstates in Ferromagnets5.3. Two-Magnon States and Eigenstates in Ferromagnets5.4. Bound States in One Dimension 5.5. Bound States in Two and Three Dimensions5.6. Antiferromagnetic Magnons: The One-Dimensional XY Model 5.7. Bethe's Solution of One-Dimensional Heisenberg Antiferromagnet5.8. Linearized Antiferromagnetic Magnons5.9. Ferrimagnetism5.10. Some Rigorous Notions in Antiferro- and Ferri-Magnetism 5.11. Vortices5.12. Solitons and Bloch Domain Walls: Introductory Material5.13. Solitary Wave Solution5.14. More on Magnetic Domains5.15. Time-Dependent Phenomena5.16. Majumdar-Ghosh Model and "Quantum Frustration"5.17. Integer Spins5.18. The AKLT Spin One Chain5.19. Defective AntiferromagnetsChapter 6. Magnetism in Metals6.1. Bloch and Wannier States6.2. Tight-Binding6.3. Weak Magnetic Properties6.4. Exchange in Solids: Construction of a Model Hamiltonian 6.5. Perturbation-Theoretic Derivation of Heisenberg Hamiltonian6.6. Heisenberg Hamiltonian in Metals6.7. Ordered Magnetic Metals: Deriving the Ground State6.8. Kondo Effect6.9. Spin Glasses6.10. Magnetism without Localized Spins: Preliminaries6.11. Degenerate Bands and Intra-Atomic Exchange Forces6.12. Magnons in Metals6.13. Marginal Magnetism of Impurities6.14. Correlations and Equivalence to s-d Model6.15. Periodic Anderson Modelchapter 7. Statistical Thermodynamics7.1. Spins in a Magnetic Field7.2. The Partition Function7.3. The Concept of the Molecular Field7.4. Discontinuity in Specific Heat7.5. Magnetic Susceptibility and Spontaneous Magnetization 7.6. Adiabatic Demagnetization7.7. Anti ferromagnetism7.8. Short-Ranged versus Long-Ranged Interactions7.9. Fermions, Bosons, and all thatFermionsnosonsGaussianLegendre Transformations7.10. Gaussian and Spherical ModelsGaussian ModelSpherical ModelWatson's Integrals Generalized7.11. Magnetic Susceptibility in Gaussian and Spherical Models7.12. Spherical Antiferromagnet7.13. Spherical Model Spin GlassMagnetic Properties of Spin Glass7.14. Thermodynamics of Magnons7.15. Magnetism in Two Dimensions7.16. The XY Model: 1D7.17. The XY Model: 2D7.18. Transfer Matrix of Plane Rotator ModelChapter 8. The Ising Model8.1. High Temperature Expansions8.2. Graph Theory8.3. Low Temperature Expansions and the Duality Relations8.4. Peierls' Proof of Long Range Order8.5. 1D Ising Model in Longitudinal Fields 8.6. 1D Ising Model in Transverse Fields8.7. ConcerningQuadratic Forms of Fermion Operators8.8. Two-Dimensional Ising Model: The Transfer Matrix8.9. Solution of Two-Dimensional Ising Model in Zero Field8.10. Spontaneous Magnetization and Magnetic Susceptibility 8.11. Zeros of the Partition Function8.12. Miscellania, Including 2D Antiferromagnets8.13. The Three-Dimensional Ising Model8.14. Ising Gauge Glass8.15. FrustrationChapter 9. Miscellaneous Advanced Topics9.1. Critical Phenomena9.2. Green Functions Formalism9.3. Nonlinear Responses and Chaos9.4. Kondo Phenomenon: The s-d Model Redux9.5. Scaling, Renormalization and Information TheoryBibliographyIndex

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