Eb. Feldman et S. Lacelle, MULTIPLE-QUANTUM NMR SPIN DYNAMICS IN ONE-DIMENSIONAL QUANTUM SPIN CHAINS, Chemical physics letters, 253(1-2), 1996, pp. 27-31
Multiple quantum NMR spin dynamics arising from a two-quantum/two-spin
non-secular average dipolar Hamiltonian are solved exactly for an inf
inite one-dimensional (1-D) quantum spin 1/2 chain with nearest-neighb
or dipole-dipole interactions and initially at thermal equilibrium in
a Zeeman field. Using fermion field-theoretic representations of spin
1/2 operators, the calculations yield analytical expressions valid for
all times for the spin density operator, multiple quantum NMR spectra
l intensities, and multiple spin correlations. implications and perspe
ctives for multiple quantum NMR of materials with 1-D distributions of
spins are briefly discussed.