| Preface |
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1 | (37) |
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1.1 Hydrogen Molecule Hamiltonian |
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1 | (4) |
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1.2 Heisenberg Hamiltonian |
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5 | (7) |
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1.3 Spin Wave Excitations |
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12 | (2) |
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1.4 Two-Spin Deviation Excitations |
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14 | (5) |
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1.5 Two-Spin Deviation States in a Ring |
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19 | (12) |
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1.6 Spin Waves in Classical Mechanics |
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31 | (2) |
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1.7 Heisenberg Hamiltonian for Actual Compounds |
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33 | (5) |
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2 Spin Waves in Ferromagnets |
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38 | (17) |
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2.1 Spin-Boson Transformation |
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38 | (2) |
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2.2 Bosonic Approach to the Heisenberg Hamiltonian |
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40 | (4) |
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2.3 Harmonic Approximation |
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44 | (2) |
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2.4 Low Temperature Thermodynamic Functions |
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46 | (5) |
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2.5 Application to Quasi-2D and Quasi 1D-models |
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51 | (4) |
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3 Interacting Spin Waves in Ferromagnets |
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55 | (36) |
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3.1 Neutron Scattering Cross-Section |
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55 | (4) |
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59 | (3) |
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3.3 First-Order Approximation |
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62 | (3) |
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3.4 Second-Order Approximation |
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65 | (7) |
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72 | (4) |
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3.6 Renormalization and Damping |
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76 | (15) |
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4 Feynman Diagrams Expansion in Ferromagnets |
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91 | (40) |
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4.1 Temperature Green Function and Perturbation Expansion |
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91 | (4) |
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4.2 First-Order Perturbation Theory |
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95 | (5) |
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4.3 Second-Order Perturbation Theory |
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100 | (5) |
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4.4 Third-order Perturbation Theory |
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105 | (7) |
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4.5 T-matrix Approximation |
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112 | (19) |
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5 Two-Magnon Bound States in Ferromagnets |
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131 | (28) |
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5.1 Two-Spin Deviation Eigenstates |
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131 | (1) |
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132 | (4) |
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136 | (7) |
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143 | (6) |
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5.5 Bound States in Anisotropic Ferromagnets |
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149 | (10) |
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6 Perturbation Theory in Planar Ferromagnets |
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159 | (29) |
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6.1 Bogoliubov Transformation |
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159 | (8) |
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6.2 The Dyson Matrix Equation |
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167 | (3) |
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6.3 First-order Perturbation Theory |
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170 | (10) |
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6.4 Second-Order Perturbation Theory |
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180 | (8) |
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7 Spin Waves in Non-Collinear Systems |
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188 | (53) |
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7.1 Local Axis Transformation and Boson Hamiltonian |
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188 | (5) |
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7.2 Harmonic Approximation and Bogoliubov Transformation |
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193 | (2) |
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7.3 Ground-State Configurations |
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195 | (2) |
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197 | (6) |
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7.5 Antiferromagnetism in Close-Packed Lattices |
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203 | (7) |
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7.6 Order by Quantum and Thermal Disorder |
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210 | (4) |
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7.7 Frustration by Competing Interactions: Square Lattice |
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214 | (5) |
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7.8 Frustration by Competing Interactions: Triangular Lattice |
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219 | (8) |
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7.9 Frustration by Competing Interaction: Honeycomb Lattice |
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227 | (8) |
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7.10 Neutron Scattering Cross-Section for a Helimagnet |
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235 | (6) |
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8 Spin Waves in Multilayers |
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241 | (23) |
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8.1 Spin Green Functions and Random Phase Approximation |
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241 | (1) |
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242 | (4) |
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246 | (1) |
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247 | (2) |
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8.5 Classical Spin Waves in Multilayers |
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249 | (12) |
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8.6 Classical Spin Waves in a Semi-Infinite Medium |
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261 | (3) |
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9 Spin Waves in Systems with Long Range Interaction |
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264 | (32) |
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9.1 Dipole-Dipole Interaction |
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264 | (3) |
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9.2 Dipolar Sums and Ewald's Method |
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267 | (8) |
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9.3 Ground-State Configuration of ErBa2Cu3O6+x |
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275 | (3) |
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9.4 CEF Calculation for ErBa2Cu3O6+x |
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278 | (11) |
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9.5 Spin Waves in ErBa2Cu3O7 |
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289 | (7) |
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10 Long Range Interactions in 2D Systems |
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296 | (43) |
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10.1 Dipole-Dipole Interaction in 2D Systems |
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296 | (4) |
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10.2 Planar Rotator Model with Long Range Interactions |
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300 | (7) |
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10.3 Stripes and Checkerboards in 2D Ising Model |
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307 | (7) |
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10.4 Monte Carlo Simulation |
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314 | (25) |
| References |
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339 | (4) |
| Index |
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343 | |