Spin Dynamics: A Paradigm for Time Optimal Control on Compact Lie Groups
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]
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|Source:||Journal of Global Optimization|
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