Advances in Theory of Solid-State Nuclear Magnetic Resonance.
Advances in Theory of Solid-State Nuclear Magnetic Resonance.
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发表时间：
2015-06
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通讯作者：
E. Mananga;J. Moghaddasi;A. Sana;A. Akinmoladun;M. Sadoqi
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作者：
E. Mananga;J. Moghaddasi;A. Sana;A. Akinmoladun;M. Sadoqi
固态核磁共振（NMR）理论的最新进展，例如Floquet-Magnus展开和Fer展开，解决了求解时间相关线性微分方程的替代方法，该方程是量子物理学中的中心问题，特别是固态NMR。这些理论方法有助于描述自旋系统的时间演化，在任何时候的权力和显着特点。这篇综述文章提出了一个广泛的观点在固态NMR自旋系统的操纵，基于里程碑理论，包括平均哈密顿理论和Floquet理论，以及目前正在发展的方法，如Floquet-Magnus扩展和Fer扩展。这些方法为控制和描述固体核磁共振中的自旋动力学提供了方法。这些理论方法的应用频闪和同步操作，非同步实验，多个instrumated频率，魔角旋转样品，示出。我们还回顾了这些理论的传播子，并讨论了它们的收敛性。注意，FME是流行的马格纳斯展开和平均哈密顿理论的扩展。它的目的是桥梁AHT的Floquet定理，但在一个更简洁和有效的形式主义。计算可以在有限维希尔伯特空间中进行，而不是在所谓的Floquet理论中的无限维空间。我们期望FME能为更精确和有效的自旋动力学模拟和设计新的RF脉冲序列提供手段。
Recent advances in theory of solid state nuclear magnetic resonance (NMR) such as Floquet-Magnus expansion and Fer expansion, address alternative methods for solving a time-dependent linear differential equation which is a central problem in quantum physics in general and solid-state NMR in particular. The power and the salient features of these theoretical approaches that are helpful to describe the time evolution of the spin system at all times are presented. This review article presents a broad view of manipulations of spin systems in solid-state NMR, based on milestones theories including the average Hamiltonian theory and the Floquet theory, and the approaches currently developing such as the Floquet-Magnus expansion and the Fer expansion. All these approaches provide procedures to control and describe the spin dynamics in solid-state NMR. Applications of these theoretical methods to stroboscopic and synchronized manipulations, non-synchronized experiments, multiple incommensurated frequencies, magic-angle spinning samples, are illustrated. We also reviewed the propagators of these theories and discussed their convergences. Note that the FME is an extension of the popular Magnus Expansion and Average Hamiltonian Theory. It aims is to bridge the AHT to the Floquet Theorem but in a more concise and efficient formalism. Calculations can then be performed in a finite-dimensional Hilbert space instead of an infinite dimensional space within the so-called Floquet theory. We expected that the FME will provide means for more accurate and efficient spin dynamics simulation and for devising new RF pulse sequence.