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T. J. Rivlin, “Chebychev Polynomials,” 2nd Edition, Wiley, New York, 1990, p. 188.

has been cited by the following article:

• TITLE: Future Theoretical Approaches in Nuclear Magnetic Resonance

  AUTHORS: Eugene Stephane Mananga

  KEYWORDS: Solid-State NMR; Average Hamiltonian Theory; Floquet Theory; Floquet Magnus Theory; Fer Expansion

  JOURNAL NAME: Journal of Modern Physics, Vol.5 No.4, February 21, 2014

  ABSTRACT: Solving a time-dependent linear differential equation towards obtaining evolution operators is a central problem in solid-state nuclear magnetic resonance. To this end, average Hamiltonian theory and Floquet theory have been the two commonly used theoretically methods in spin dynamics of NMR. We recently introduced the Floquet-Magnus expansion approach and here, we present the methodology of potentials future theoretical approaches such as the Fer expansion, Chebyshev expansion and Cayley transformation that could be useful tools for numerical integrators and simulations of spin dynamics in NMR.