TITLE:
Theories in Spin Dynamics of Solid-State Nuclear Magnetic Resonance Spectroscopy
AUTHORS:
Eugene S. Mananga, Jalil Moghaddasi, Ajaz Sana, Mostafa Sadoqi
KEYWORDS:
Average Hamitonian Theory, Floquet Theory, Fer Expansion, Chebychev Expansion, Caley Transformation
JOURNAL NAME:
World Journal of Nuclear Science and Technology,
Vol.5 No.1,
January
20,
2015
ABSTRACT: This short
review article presents theories used in solid-state nuclear magnetic resonance
spectroscopy. Main theories used in NMR include the average Hamiltonian theory,
the Floquet theory and the developing theories are the Fer expansion or the Floquet-Magnus
expansion. These approaches provide solutions to the time-dependent Schrodinger
equation which is a central problem in quantum physics in general and solid-state
nuclear magnetic resonance in particular. Methods of these expansion schemes used
as numerical integrators for solving the time dependent Schrodinger equation are
presented. The action of their propagator operators is also presented. We highlight
potential future theoretical and numerical directions such as the time propagation
calculated by Chebychev expansion of the time evolution operators and an interesting
transformation called the Cayley method.