1. Home
    2. Journals
    3. Journal of Chemical Sciences
    4. Volume 127
    5. Issue 12

    • Theoretical approaches to control spin dynamics in solid-state nuclear magnetic resonance

      Eugene Stephane Mananga

      Volume 127 Issue 12 December 2015 pp 2081-2109

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/jcsc/127/12/2081-2109

    • Keywords

       

      Average Hamiltonian theory; Floquet theory; Fer expansion; Floquet-Magnus expansion; Chebyshev expansion; Cayley method.

    • Abstract

       

      This article reviews theoretical approaches for controlling spin dynamics in solid-state nuclear magnetic resonance. We present fundamental theories in the history of NMR, namely, the average Hamiltonian and Floquet theories. We also discuss emerging theories such as the Fer and Floquet-Magnus expansions. These theories allow one to solve the time-dependent Schrodinger equation, which is still the central problem in spin dynamics of solid-state NMR. Examples from the literature that highlight several applications of these theories are presented, and particular attention is paid to numerical integrators and propagator operators. The problem of time propagation calculated with Chebychev expansion and the future development of numerical directions with the Cayley transformation are considered. The bibliography includes 190 references.

    • Author Affiliations

       

      Eugene Stephane Mananga1 2 3

      1. Department of Physics and Technology, The City University of New York, BCC 2155 University Avenue, New York 10453, USA
      2. Department of Applied Physics, New York University, Polytechnic School of Engineering, New York 11201, USA
      3. Center for Advanced Medical Imaging Sciences, Division of Nuclear Medicine and Molecular Imaging Physics, Harvard Medical School and Massachusetts General Hospital, 55 Fruit Street, Massachusetts 02114, USA

    • Dates

       
      Published
      December 2015
      Manuscript received
      9 January 2015
      Accepted
      5 October 2015

  • Journal of Chemical Sciences | News

© 2022-2023 Indian Academy of Sciences, Bengaluru.

Contact | Site index