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The Magnetic Susceptibility
The Magnetic Hamiltonian
The Static Susceptibility of Noninteracting Systems
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absorption amplitude antiferromagnet applied field approximation associated assume atomic average axis band becomes behavior calculated Chap characterized components compute configuration contribution correlation function corresponds Coulomb critical exponents crystal field cubic defined density diamagnetic dipolar distribution eigenfunctions eigenvalues energy example exchange interaction excited experimental fact Fermi liquid Fermi surface ferromagnetic Fourier transform frequency Gaussian Green's function Hamiltonian Hartree-Fock illustrated in Fig impurity integral involving ionic ions Landau lattice Let us consider linear magnetic field magnetic system magnon matrix elements Maxwell's equations metal Mn2+ modes moments momentum neutron noninteracting nonlinear Notice nuclear obtain operator orbital paramagnetic particles perturbation phase phonons Phys polarization potential proportional quantized quantum numbers quasiparticle relation relaxation resonance response result rotation sample scattering shown in Fig spectrum spin waves spin-orbit spin-wave Stoner superconductor symmetry temperature dependence theorem theory tion transition uniform Vleck wave function wave vector Zeeman zero