Future Theoretical Approaches in Nuclear Magnetic Resonance

Eugene Stephane Mananga

doi:10.4236/jmp.2014.54024

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.

Highlights

The goal of the proposed research is to study theories and simulations applicable to the treatment of the spin dynamics in solid-state nuclear magnetic resonance (NMR) spectroscopy
Solid-state NMR is definitely a timely topic and not many papers on the respective theories are available in the literature of nuclear magnetic resonance or spin dynamics
The time-dependent Schrodinger equation [1] is the unique framework permitting a consistent treatment of the spin dynamics in solid-state NMR

Summary

Introduction

The goal of the proposed research is to study theories and simulations applicable to the treatment of the spin dynamics in solid-state nuclear magnetic resonance (NMR) spectroscopy. Solid-state NMR is definitely a timely topic and not many papers on the respective theories are available in the literature of nuclear magnetic resonance or spin dynamics. The time-dependent Schrodinger equation [1] is the unique framework permitting a consistent treatment of the spin dynamics in solid-state NMR. Such spin dynamics are central in the description of the quantum measurement processes leading to the NMR signal and in designing sophisticated pulse sequences and the understanding of different experiments. There are four related research areas in which I propose to investigate which will involve external collaboration

Methodology and Discussion

Conclusion