The Theory of Magnetism I [E-Book] : Statics and Dynamics / by Daniel C. Mattis.
Mattis, Daniel C., (author)
Berlin, Heidelberg : Springer, 1981
XV, 300 p. 4 illus. online resource.
englisch
9783642832383
10.1007/978-3-642-83238-3
Springer Series in Solid-State Sciences ; 17
Full Text
Table of Contents:
  • 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 Theory
  • 1.8 Modern Foundations
  • 1.9 Magnetic Bubbles
  • 1.10 Ultimate Thin Films
  • 1.11 Dilute Magnetic Alloys
  • 1.12 New Directions
  • 2. Exchange
  • 2.1 Exchange Equals Overlap
  • 2.2 Hydrogen Molecule
  • 2.3 Three Hydrogen Atoms
  • 2.4 Nonorthogonality Catastrophe
  • 2.5 Method of Löwdin and Carr
  • 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 of Angular Momentum
  • 3.5 Pauli Spin Matrices
  • 3.6 Compounding Angular Momentum
  • 3.7 Equations of Motion of Interacting Angular Momenta
  • 3.8 Coupled Boson Representation
  • 3.9 Rotations
  • 3.10 More on Compound Angular Momentum
  • 3.11 Other Representations
  • 3.12 Spins One-Half
  • 3.13 Spins One
  • 3.14 Quadratic Forms
  • 4. Many-Electron Wavefunctions
  • 4.1 Slater Determinants
  • 4.2 Antisymmetrization
  • 4.3 States of Three Electrons
  • 4.4 Eigenfunctions of Total S2 and SZ
  • 4.5 Ground State of Two Electrons: A Theorem
  • 4.6 Hund’s Rules
  • 4.7 p3 Configuration
  • 4.8 p2 and p4 Configurations
  • 4.9 Independent Electrons
  • 4.10 Electrons in One Dimension: A Theorem
  • 4.11 The Wronskian
  • 4.12 Theorem in Three Dimensions
  • 4.13 Ordering Theorem Versus Hund’s Rule
  • 4.14 Second Quantization
  • 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 One-Magnon Eigenstates in Heitler-London Solid
  • 5.7 Nonlinear Spin Wave Theory
  • 5.8 Perturbation-Theoretic Correction
  • 5.9 Antiferromagnetic Magnons: The One-Dimensional XY Model
  • 5.10 Bethe’s Solution of One-Dimensional Heisenberg Antiferromagnet
  • 5.11 Linearized Antiferromagnetic Magnons
  • 5.12 Nonlinearities in Antiferromagnetism
  • 5.13 Ferrimagnetism
  • 5.14 Effects of Surfaces on Spin Wave Amplitudes
  • 5.15 Vortices
  • 5.16 Solitons: Introductory Material
  • 5.17 Solitary Wave Solution
  • 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 Low-Density Electron Gas
  • 6.12 Quasi-Particles
  • 6.13 Nagaoka’s Model
  • 6.14 Degenerate Bands and Intra-Atomic Exchange Forces.
  • 6.15 Magnons in Metals
  • 6.16 Marginal Magnetism of Impurities
  • 6.17 Correlations and Equivalence to s-d Model
  • References.