Commutator expansions in NMR diffusometry

Matias Nordin

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arXiv · 1408.3920

Commutator expansions in NMR diffusometry

Matias Nordin

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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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Matias Nordin. 2014-08-18. Commutator expansions in NMR diffusometry. https://arxiv.org/abs/1408.3920

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