Commutator expansions in NMR diffusometry
Chemical Physics
2014-08-19 v1
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.
Cite
@article{arxiv.1408.3920,
title = {Commutator expansions in NMR diffusometry},
author = {Matias Nordin},
journal= {arXiv preprint arXiv:1408.3920},
year = {2014}
}