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Commutator expansions in NMR diffusometry

Abstract

In this paper commutator expansions for solving the Bloch-Torrey's equation are derived. An exact solution for free diffusion in a constant magnetic field gradient is found. Furthermore the moments of the signal in the short gradient pulse limit for spins confined to a restricted geometry are derived. The moments are tested numerically against the known solution of diffusing spins between two perpendicular plates in the short gradient pulse limit

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1408.3920oai:arXiv.org:1408.3920
Last time updated on October 24, 2014View original full text link

This paper was published in arXiv.org e-Print Archive.

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