Quantum Derivation of the Bloch Equations Excluding Relaxation

IF 0.4 4区化学 Q4 CHEMISTRY, PHYSICAL

Concepts in Magnetic Resonance Part A Pub Date : 2022-10-10 DOI:10.1155/2022/4461529

Eric R. Johnston

引用次数: 0

Abstract

The equation of motion of the density matrix of an ensemble of identical spin-1/2 nuclei subject to a rotating-frame radiofrequency field and Zeeman frequency offset is derived from the Schrodinger equation and shown to be equivalent to the magnetization differential equations originally proposed by Bloch (excluding relaxation). The quantum and classical differential equations are then integrated.

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排除弛豫的布洛赫方程的量子推导

从薛定谔方程导出了自旋为1/2的核系综在旋转框架射频场和塞曼频率偏移作用下的密度矩阵的运动方程，并证明其与Bloch最初提出的磁化微分方程等效(不包括弛豫)。然后将量子微分方程和经典微分方程进行积分。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Concepts in Magnetic Resonance Part A 物理-光谱学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Concepts in Magnetic Resonance Part A brings together clinicians, chemists, and physicists involved in the application of magnetic resonance techniques. The journal welcomes contributions predominantly from the fields of magnetic resonance imaging (MRI), nuclear magnetic resonance (NMR), and electron paramagnetic resonance (EPR), but also encourages submissions relating to less common magnetic resonance imaging and analytical methods. Contributors come from academic, governmental, and clinical communities, to disseminate the latest important experimental results from medical, non-medical, and analytical magnetic resonance methods, as well as related computational and theoretical advances. Subject areas include (but are by no means limited to): -Fundamental advances in the understanding of magnetic resonance -Experimental results from magnetic resonance imaging (including MRI and its specialized applications) -Experimental results from magnetic resonance spectroscopy (including NMR, EPR, and their specialized applications) -Computational and theoretical support and prediction for experimental results -Focused reviews providing commentary and discussion on recent results and developments in topical areas of investigation -Reviews of magnetic resonance approaches with a tutorial or educational approach