Journal of Mathematical Chemistry

, Volume 22, Issue 1, pp 1–10 | Cite as

On the class of attainable multidimensional NMR spectra

  • Raimund J. Ober
  • E. Sally Ward
Article

Abstract

It is shown that a large class of two‐dimensional NMR spectra is characterized by a matrix algebra and an invariant subspace. Both the matrix algebra and the invariant subspace are determined by the system matrices of the bilinear system which describes the NMR experiments.

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References

  1. [1]
    J. Cavanagh, W. Fairbrother, A. Palmer and N. Skelton, Protein NMR Spectroscopy: Principles and Practice(Academic Press, 1996).Google Scholar
  2. [2]
    R. Ernst, G. Bodenhausen and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions(Oxford University Press, 1987).Google Scholar
  3. [3]
    I. Herstein, Topics in Algebra(Wiley, 1975).Google Scholar
  4. [4]
    R.J. Ober and E.S. Ward, A system theoretic formulation of NMR experiments, J. Math. Chem. 20 (1996) 47–65.CrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • Raimund J. Ober
    • 1
  • E. Sally Ward
    • 2
  1. 1.Center for Engineering Mathematics EC35University of Texas at DallasRichardsonUSA
  2. 2.Cancer Immunobiology Center and Department of MicrobiologyUniversity of Texas Southwestern Medical CenterDallasUSA

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