Self-interactions as predicted by the Dirac-Maxwell equations
Self-interactions as predicted by the Dirac-Maxwell equations
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狄拉克-麦克斯韦方程预测的自相互作用
DOI：
10.1103/physreva.90.034101
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发表时间：
2014-09
影响因子：
2.9
通讯作者：
Grobe R.
中科院分区：
文献类型：
--
作者：
Lv Q. Z.;Norris S.;Su Q.;Grobe R.
本文通过求解麦克斯韦-狄拉克方程组，研究了一维空间局域带电粒子的动力学行为。虽然麦克斯韦方程与狄拉克方程的耦合正确地预测了不同粒子之间的吸引或排斥相互作用，但它也揭示了单个电子或正电子与自身的非物理相互作用，导致波包的空间扩展增强。通过与相互作用的经典准粒子的相对论系综的比较，我们认为这种量子力学的自排斥可以用相对论经典力学来理解。我们表明，由于在一个空间维度的库仑定律的简单形式，它是可能的，以找到与时间相关的空间宽度的相互作用的经典系综的解析表达式。更好地理解这种不可避免的自排斥效应的动力学影响是相关的场诱导对从真空中产生过程的最新研究。
We solve the Maxwell-Dirac equations to study the dynamics of a spatially localized charged particle in one spatial dimension. While the coupling of the Maxwell equations to the Dirac equation predicts correctly the attractive or repulsive interaction between different particles, it also reveals an unphysical interaction of a single electron or positron with itself leading to an enhanced spatial spreading of the wave packet. Using a comparison with a relativistic ensemble of mutually interacting classical quasiparticles, we suggest that this quantum mechanical self-repulsion can be understood in terms of relativistic classical mechanics. We show that due to the simple form of the Coulomb law in one spatial dimension it is possible to find analytical expressions of the time-dependent spatial width for the interacting classical ensemble. A better understanding of the dynamical impact of this unavoidable self-repulsion effect is relevant for recent studies of the field-induced pair creation process from the vacuum.