论文标题

费米子的量子玻尔兹曼方程:尝试使用量子场理论技术来计算NMR松弛和脱碳时间

Quantum Boltzmann equation for fermions: An attempt to calculate the NMR relaxation and decoherence times using quantum field theory techniques

论文作者

Manshouri, Hassan, Hoseinpour, Ahmad, Zarei, Moslem

论文摘要

从微观相互作用中提取系统的宏观特性一直是最多样化应用的有趣主题。在这里,我们使用量子玻尔兹曼方程研究核子系统的密度基质演化。使用量子场理论工具来构建密度矩阵运算符并计算相互作用是该方程的主要优点。该方程式的右侧涉及向前散射和通常的碰撞项。作为应用的示例,我们在存在从正向散射项的常数和振荡磁场的情况下计算核子系统的标准BLOCH方程。我们通过考虑核定核子散射,发现碰撞项的纵向和横向和横向(反向(反折叠)松弛时间。

Extracting macroscopic properties of a system from microscopic interactions has always been an interesting topic with the most diverse applications. Here, we use the quantum Boltzmann equation to investigate the density matrix evolution of a system of nucleons. Using the quantum field theory tools for constructing the density matrix operators and calculating the interactions is the main advantage of this equation. The right-hand side of this equation involves forward scattering and usual collision terms. As examples of application, we calculate the standard Bloch equations for the nucleon system in the presence of a constant and an oscillating magnetic field from the forward scattering term. We find the longitudinal and transverse (decoherence) relaxation times from the collision term by considering the nucleon-nucleon scattering.

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