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On the role of reachability and observability in NMR experimentation

Abstract

It is shown that the system theoretic concepts of reachability and observability are relevant to the analysis of NMR experiments. Moreover, the sets of reachable states are examined and Lie theoretic criteria are given for the reachability of the system. The question is investigated how the set of reachable states depends on the class of input functions that are allowed. Both one‐dimensional and multi‐dimensional NMR experiments are considered.

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Ober, R.J., Ramakrishna, V. & Ward, E.S. On the role of reachability and observability in NMR experimentation. Journal of Mathematical Chemistry 26, 15 (1999). https://doi.org/10.1023/A:1019117424294

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Keywords

  • Input Function
  • Free Induction Decay
  • Reachable State
  • Bilinear System
  • Path Planning Problem