Auxiliary matrix formalism for interaction representation transformations, optimal control, and spin relaxation theories
DL Goodwin, I Kuprov - The Journal of chemical physics, 2015 - pubs.aip.org
Auxiliary matrix exponential method is used to derive simple and numerically efficient
general expressions for the following, historically rather cumbersome, and hard to compute …
general expressions for the following, historically rather cumbersome, and hard to compute …
Advanced optimal control methods for spin systems
DL Goodwin - arXiv preprint arXiv:1803.10432, 2018 - arxiv.org
Work within this thesis advances optimal control algorithms for application to magnetic
resonance systems. Specifically, presenting a quadratically convergent version of the …
resonance systems. Specifically, presenting a quadratically convergent version of the …
Fast simulation of magnetic field gradients for optimization of pulse sequences
JPS Peterson, H Katiyar, R Laflamme - arXiv preprint arXiv:2006.10133, 2020 - arxiv.org
We study how to simulate, efficiently, pulse field gradients (PFG) used in nuclear magnetic
resonance (NMR). An efficient simulation requires discretization in time and space. We study …
resonance (NMR). An efficient simulation requires discretization in time and space. We study …
Spin algebra and NMR theory using numerical software
JP Grivet - Concepts in Magnetic Resonance Part A, 2015 - Wiley Online Library
A simple method to execute spin algebra computations is presented. It uses the high‐level
numerical program Scilab and its large and convenient set of linear algebra routines. The …
numerical program Scilab and its large and convenient set of linear algebra routines. The …
[PDF][PDF] Auxiliary matrix formalism for interaction representation transformations, optimal control and related theories
DL Goodwin, LJ Edwards, I Kuprov - researchgate.net
Auxiliary matrix exponential method is used to derive simple and numerically efficient
general expressions for the following, historically rather cumbersome and hard to compute …
general expressions for the following, historically rather cumbersome and hard to compute …
Highly efficient quantum spin dynamics simulation algorithms
L Edwards - 2014 - ora.ox.ac.uk
Spin dynamics simulations are used to gain insight into important magnetic resonance
experiments in the fields of chemistry, biochemistry, and physics. Presented in this thesis are …
experiments in the fields of chemistry, biochemistry, and physics. Presented in this thesis are …