Multiple quantum NMR spin dynamics in one-dimensional quantum spin chains

Multiple quantum NMR spin dynamics arising from a two-quantum/two-spin non-secular average dipolar Hamiltonian are solved exactly for an infinite one-dimensional (1-D) quantum spin 12 chain with nearest-neighbor dipole-dipole interactions and initially at thermal equilibrium in a Zeeman field. Using fermion field-theoretic representations of spin 12 operators, the calculations yield analytical expressions valid for all times for the spin density operator, multiple quantum NMR spectral intensities, and multiple spin correlations. Implications and perspectives for multiple quantum NMR of materials with 1-D distributions of spins are briefly discussed.