Eugene Stephane Mananga^*

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Department of Radiology, Division of Nuclear Medicine and Molecular Imaging Physics, Center for Advanced Medical Imaging Sciences, Harvard Medical School, and Massachusetts General Hospital, Harvard University, Boston, Massachusetts, USA.
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Abstract: Solving a time-dependent linear differential equation towards obtaining evolution operators is a central problem in solid-state nuclear magnetic resonance. To this end, average Hamiltonian theory and Floquet theory have been the two commonly used theoretically methods in spin dynamics of NMR. We recently introduced the Floquet-Magnus expansion approach and here, we present the methodology of potentials future theoretical approaches such as the Fer expansion, Chebyshev expansion and Cayley transformation that could be useful tools for numerical integrators and simulations of spin dynamics in NMR.

Keywords: Solid-State NMR; Average Hamiltonian Theory; Floquet Theory; Floquet Magnus Theory; Fer Expansion

Cite this paper: Mananga, E. (2014) Future Theoretical Approaches in Nuclear Magnetic Resonance. Journal of Modern Physics, 5, 145-148. doi: 10.4236/jmp.2014.54024.

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