Skip navigation
Skip navigation

Spin Dynamics: A Paradigm for Time Optimal Control on Compact Lie Groups

Dirr, G; Helmke, Uwe; Hueper, Knut; Kleinsteuber, M; Liu, Y

Description

The development of efficient time optimal control strategies for coupled spin systems plays a fundamental role in nuclear magnetic resonance (NMR) spectroscopy. In particular, one of the major challenges lies in steering a given spin system to a maximum of its so-called transfer function. In this paper we study in detail these questions for a system of two weakly coupled spin-1/2 particles. First, we determine the set of maxima of the transfer function on the special unitary group SU(4). It is...[Show more]

CollectionsANU Research Publications
Date published: 2006
Type: Journal article
URI: http://hdl.handle.net/1885/34964
Source: Journal of Global Optimization
DOI: 10.1007/s10898-005-6015-6

Download

File Description SizeFormat Image
01_Dirr_Spin_Dynamics:_A_Paradigm_for_2006.pdf325.38 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  12 November 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator