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 JMP  Vol.5 No.4 , February 2014
Future Theoretical Approaches in Nuclear Magnetic Resonance
Eugene Stephane Mananga*
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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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