The spherical tensor formalism applied to relaxation in magnetic resonance
The spherical tensor formalism applied to relaxation in magnetic resonance
复制标题
应用于磁共振弛豫的球面张量形式
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
B. Robinson
中科院分区：
文献类型：
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作者：
R. Nielsen;B. Robinson
球面张量算子用于简化 Redfield 方程的松弛项。使用迹归一化球面张量算子开发了一种治疗松弛的方法。 Redfield 方程被改写为一组耦合线性微分方程，用于表示一组完整的球面张量算子的期望值。以单个自旋1/2粒子为对象，证明了运动方程与布洛赫方程的对应关系。球面张量方法的优点在于，运动方程的相干项和松弛项都被写成矩阵，这些矩阵对由自旋变量的期望值组成的公共向量进行运算。用于构建运动方程的过程有助于组织对自旋弛豫的各种贡献，并且无论自旋系统大小如何都可以统一应用。例如，通过化学位移各向异性和偶极哈密顿量来松弛双自旋系统是使用球面张量形式得到的。 © 2006 Wiley periodicals, Inc. 概念 Magn Reson A 部分 28A：270–290，2006 年
Spherical tensor operators are used to simplify the relaxation terms of the Redfield equation. A method for treating relaxation is developed using trace-normalized spherical tensor operators. The Redfield equation is recast as a set of coupled linear differential equations for the expectation values of a complete set of spherical tensor operators. A single spin-1/2 particle is treated, and the correspondence of the equation of motion with the Bloch equation is demonstrated. The advantage of the spherical tensor approach is that both the coherent and relaxation terms of the equation of motion are written as matrices that operate on a common vector consisting of the expectation values of spin variables. The process used to construct the equation of motion helps to organize the various contributions to spin relaxation and can be applied uniformly regardless of spin system size. As an example, the relaxation of a two-spin system by the chemical shift anisotropy and dipolar Hamiltonians is developed using the spherical tensor formalism. © 2006 Wiley Periodicals, Inc. Concepts Magn Reson Part A 28A: 270–290, 2006