## Proceedings of the International School of Physics "Enrico Fermi.", Volume 70N. Zanichelli, 1978 - Nuclear physics |

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Page 198

so -i- 2s, s, , which has the

}, the operator (1.6) * + 2s1's, will have the

tively. Therefore the Hamiltonian for the system can be equivalently ...

so -i- 2s, s, , which has the

**eigenvalues**(1.5) S(S -- 1) = 28(8 + 1) + 2s1's, . For s =}, the operator (1.6) * + 2s1's, will have the

**eigenvalues**–1 and + 1 in the states P.tively. Therefore the Hamiltonian for the system can be equivalently ...

Page 207

The operators b. are also Bose operators and the

are the number of spin waves n, having wave vector k. When this transformation

is inserted into 3%ur, a typical term becomes (2.10 as X Pan-oxo, X expsi(k+ k) ...

The operators b. are also Bose operators and the

**eigenvalues**of the operators m,are the number of spin waves n, having wave vector k. When this transformation

is inserted into 3%ur, a typical term becomes (2.10 as X Pan-oxo, X expsi(k+ k) ...

Page 210

As mentioned, all transformations preserve the Bose commutation rules, so the

, ... = C, - X. A. H. Xe.(n + 1). This last transformation is from the original ...

As mentioned, all transformations preserve the Bose commutation rules, so the

**eigenvalues**n, of did, will be integers and the energy**eigenvalues**will be (2.29) B, ... = C, - X. A. H. Xe.(n + 1). This last transformation is from the original ...

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### Contents

Gruppo fotografico dei partecipanti al Corso fuori testo | 1 |

Octahedral sites | 3 |

Hightemperature results | 4 |

Copyright | |

34 other sections not shown

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### Common terms and phrases

absorption angle anisotropy constants anisotropy energy annealing antiferromagnetic Appl axis Bloch lines Bloch point Bloch wall Bloch-line bubble calculated coefficients compensation point contribution Cošt crystal field cubic Curie temperature curve d-site diamagnetic dichroism direction of magnetization domain wall effects electron energy levels equation exchange experimental Fe2+ Fe3+ ions ferromagnetic resonance formula unit frequency gadolinium Gd3+ ion GELLER GILLEo given Hamiltonian interaction ion moments Journ lattice constant line width linear magnetic field magnetic ions magnetoelastic magnetostriction constants measurements neutron diffraction observed octahedral octahedral sites orientation parameter phonons photoinduced photomagnetic Phys plane polarization rare-earth ions rare-earth iron garnets relaxation respectively room temperature rotation sample shown in fig specimens spin wave spontaneous magnetization sublattice substitution symmetry temperature dependence temperature variation tetrahedral theory tion torque transition uniaxial anisotropy valence values vector velocity yttrium iron garnet