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The dipolar Spin Echoes in Solids
Chapter The SpinLattice Relaxation
6 other sections not shown
applied average becomes binary collision Boltzmann Boltzmann equation Chapter 11 classical collision operator commutes correlation function corresponding defined density correction density expansion density matrix density operator dependent diagonal dipolar echo dipolar Hamiltonian dipolar interaction distribution function dynamical variable energy ensemble equation of motion equilibrium expanded in powers exponential expression free induction decay given Hamiltonian initial integral intermolecular potential Larmor frequency Larmor precession Liouville operator low density magnetic field modulation molecular motion molecules nuclear magnetic resonance nuclear spins obtain order in density order loss particles perturbation phase Phys powers of density Powles QMCF quantum correction quantum mechanical resolvent operator result rf field rotating frame scattering cross section second echo solids spin echo spin lattice relaxation spin one half spin rotational spin system spin-spin spin-spin relaxation Substituting theory thermal wave length thesis tion vanish vector Waugh wave function Wigner representation written Zeeman zero