arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1407.2678physics.atom-phhep-ph
收藏

原子分子系统时间演化的量子电动力学模拟方法研究

Study of Simulation Method of Time Evolution of Atomic and Molecular Systems by Quantum Electrodynamics

Kazuhide Ichikawa, Masahiro Fukuda, Akitomo Tachibana

摘要:

本文讨论了一种基于量子电动力学(QED)跟踪原子分子系统时间演化的方法。我们的策略包括扩展的电子场算子的本地化波包定义创建和湮灭运营商和以下的时间演化使用的运动方程的场运营商在海森堡图片。我们首先推导出一个时间演化方程的激发运营商,产品的两个创建或湮灭运营商,这是必要的构造运营商的物理量,如电子电荷密度运营商。然后,我们描述我们的近似方法,以获得电子密度矩阵,这是定义为期望值的激发算子的时间微分方程。通过数值求解该方程,我们发现氢原子和分子的电荷密度中出现了“电子-正电子振荡”,即由虚电子-正电子对的产生和湮灭引起的涨落。我们还表明,电子-正电子振荡的周期变得更短,包括自能过程,其中电子发射光子,然后再次吸收它,它可以被解释为电子质量的增加,由于自能。

英文摘要:

We discuss a method to follow step-by-step time evolution of atomic and molecular systems based on QED (Quantum Electrodynamics). Our strategy includes expanding the electron field operator by localized wavepackets to define creation and annihilation operators and following the time evolution using the equations of motion of the field operator in the Heisenberg picture. We first derive a time evolution equation for the excitation operator, the product of two creation or annihilation operators, which is necessary for constructing operators of physical quantities such as the electronic charge density operator. We then describe our approximation methods to obtain time differential equations of the electronic density matrix, which is defined as the expectation value of the excitation operator. By solving the equations numerically, we show "electron-positron oscillations", the fluctuations originated from virtual electron-positron pair creations and annihilations, appear in the charge density of a hydrogen atom and molecule. We also show that the period of the electron-positron oscillations becomes shorter by including the self-energy process, in which the electron emits a photon and then absorbs it again, and it can be interpreted as the increase in the electron mass due to the self-energy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑