Proceedings of the International School of Physics "Enrico Fermi.", Volume 70N. Zanichelli, 1978 - Nuclear physics |
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Page 200
... eigenstates a , as ( 1.19 ) Yo = A1 A2 A3 ... aN . This is the state realized at 0 K and represents the maximum ... eigenstate at the site i . However , is not an eigenfunction of the Hamiltonian of eq . ( 1.18 ) . An eigenfunction ...
... eigenstates a , as ( 1.19 ) Yo = A1 A2 A3 ... aN . This is the state realized at 0 K and represents the maximum ... eigenstate at the site i . However , is not an eigenfunction of the Hamiltonian of eq . ( 1.18 ) . An eigenfunction ...
Page 205
... of the spin Hamiltonian are expanded in terms of the eigenstate of the deviation operators : ( 2.3 ) Ψε - Σ b2 ( n ... ny ) P , N ni ... nN ni ... n N where ( 2.4 ) = n1nN η Φ . n1 MAGNETIC EXCITATIONS 205 Holstein-Primakoff ...
... of the spin Hamiltonian are expanded in terms of the eigenstate of the deviation operators : ( 2.3 ) Ψε - Σ b2 ( n ... ny ) P , N ni ... nN ni ... n N where ( 2.4 ) = n1nN η Φ . n1 MAGNETIC EXCITATIONS 205 Holstein-Primakoff ...
Page 207
... eigenstate of the Hamil- tonian . i 22. Transformation to spin waves . - Spin waves are introduced by the following Fourier expressions : ( 2.13 ) N Σb exp [ -ik.r ] , i bb - Nk9 where k is the wave vector determined by the boundary ...
... eigenstate of the Hamil- tonian . i 22. Transformation to spin waves . - Spin waves are introduced by the following Fourier expressions : ( 2.13 ) N Σb exp [ -ik.r ] , i bb - Nk9 where k is the wave vector determined by the boundary ...
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absorption angle anisotropy constants antiferromagnetic Appl axis birefringence Bloch lines Bloch point bubble calculated cation cm-¹ Co² Co³ coefficient concentration contribution crystal field cubic Curie temperature curve diamagnetic dichroism direction of magnetization domain wall effects electron energy levels equations exchange experimental Fe2+ Fe³ ferrimagnetic ferromagnetic resonance film formula unit frequency GELLER GILLEO given Hamiltonian interaction ion moments Journ K₁ lattice constant line width linear magnetic anisotropy magnetic field magneto-optical magnetoelastic magnons measurements modes neutron diffraction observed obtained octahedral octahedral sites optical orbital oxygen paramagnetic parameters phonons photoinduced photomagnetic Phys polarization polycrystalline properties rare-earth ions rare-earth iron garnets relaxation resonance room temperature rotation sample shown in fig sin² specimens spin wave spin-orbit coupling spontaneous magnetization sublattice substitution surface symmetry temperature dependence tetrahedral theory tion torque transitions uniaxial anisotropy valence values vector velocity yttrium iron garnet