论文标题
连续媒体和亚伯拉罕·米科夫斯基的隐藏动力
Hidden momentum in continuous media and the Abraham-Minkowski debate
论文作者
论文摘要
我们对隐藏动量与亚伯拉罕·米科夫斯基（Abraham-Minkowski）之间的联系进行了详细研究，涉及材料介质中电磁动量密度。先前关于该主题的工作的结果[P. L. Saldanha和J. S. Oliveira Filho，物理。 Rev. A 95，043804（2017）]扩展到出现一些微妙之处的连续中限。我们考虑具有施加的电和磁性静态场的极化和磁性连续培养基，其中介质极化可能是由于电荷密度或假设的磁电流密度而引起的，并且介质磁化可能是由于电流密度或假设的磁电荷密度引起的。每个模型都会导致系统材料隐藏动量和介质中电磁动量密度的不同表达。我们表明，引用参考的主要结果是在连续的介质极限中维持的：亚伯拉罕动量与介质的模型兼容，在该模型中，极化是由于电荷引起的，并且磁化强度是由于磁性电荷引起的，Minkowski动量与磁性构成磁性和磁力的模型兼容，并且磁性是由于磁性和电动电流而引起的。 $ \ VAREPSILON_0 \ MATHBF {E} \ TIME \ MATHBF {B} $与一个模型兼容，在该模型中，极化是由于电荷引起的，并且磁化强度是由于电流引起的，这是自然模型。这些结果以统一偏振和磁化球体的示例进行了说明。
We perform a detailed study of the connection between hidden momentum and the Abraham-Minkowski debate about the electromagnetic momentum density in material media. The results of a previous work on the subject [P. L. Saldanha and J. S. Oliveira Filho, Phys. Rev. A 95, 043804 (2017)] are extended to the continuous medium limit, where some subtleties arise. We consider a polarized and magnetized continuous medium with applied electric and magnetic static fields, where the medium polarization can be due to either an electric charge density or a hypothetical magnetic current density and the medium magnetization can be due to either an electric current density or a hypothetical magnetic charge density. Each model leads to a different expression for the system material hidden momentum and for the electromagnetic momentum density in the medium. We show that the main results of the cited reference are sustained in the continuous medium limit: Abraham momentum is compatible with a model for the medium where the polarization is due to electric charges and the magnetization is due to magnetic charges, Minkowski momentum is compatible to a model where the polarization is due to magnetic currents and the magnetization is due to electric currents, and the expression $\varepsilon_0\mathbf{E}\times\mathbf{B}$ is compatible with a model where the polarization is due to electric charges and the magnetization is due to electric currents, which is the natural model. These results are illustrated with the example of a uniformly polarized and magnetized sphere.
