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VOLUME 81 (2005) | ISSUE 2 | PAGE 54
Exact results on spin dynamics and multiple quantum NMR dynamics in alternating spin- 1/ 2 chains with XY-Hamiltonian at high temperatures
PACS: 05.30.-d, 76.20.+q
Abstract
We extend the picture of a transfer of nuclear spin-1/2 polarization along a homogeneous one-dimensional chain with the XY-Hamiltonian to the inhomogeneous chain with alternating nearest neighbour couplings and alternating Larmor frequencies. To this end, we calculate exactly the spectrum of the spin-1/2 XY-Hamiltonian of the alternating chain with an odd number of sites. The exact spectrum of the XY-Hamiltonian is also applied to study the multiple quantum (MQ) NMR dynamics of the alternating spin-1/2 chain. MQ NMR spectra are shown to have the MQ coherences of zero and \pm second orders just as in the case of a homogeneous chain. The intensities of the MQ coherences are calculated.