TITLE:
Future Theoretical Approaches in Nuclear Magnetic Resonance
AUTHORS:
Eugene Stephane Mananga
KEYWORDS:
Solid-State NMR; Average Hamiltonian Theory; Floquet Theory; Floquet Magnus Theory; Fer Expansion
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.4,
February
21,
2014
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.