论文标题
在没有经典磁场的情况下磁力
Magnetic forces in the absence of a classical magnetic field
论文作者
论文摘要
结果表明，在某些情况下，量子力学中通量线的离散分布的影响可能与具有特殊对称性的磁场连续分布的影响有关。特别是，具有任意磁通量值的通量线可用于创建能量屏障，可用于将量子系统限制在特殊设计的配置中。这概括了先前的工作，其中这种能屏障来自带有半数磁通量的通量线。此外，还显示了如何从通量线的二维网格中获得Landau水平。这些结果表明，经典的磁力可以被视为完全从Aharonov-Bohm效应中出现。最后，引入了半古典理论的基本元素，该理论引入了具有特殊对称性领域的经典磁力的出现。
It is shown that, in some cases, the effect of discrete distributions of flux lines in quantum mechanics can be associated with the effect of continuous distributions of magnetic fields with special symmetries. In particular, flux lines with an arbitrary value of magnetic flux can be used to create energetic barriers, which can be used to confine quantum systems in specially designed configurations. This generalizes a previous work where such energy barriers arose from flux lines with half-integer fluxons. Furthermore, it is shown how the Landau levels can be obtained from a two-dimensional grid of flux lines. These results suggest that the classical magnetic force can be seen as emerging entirely from the Aharonov-Bohm effect. Finally, the basic elements of a semi-classical theory that models the emergence of classical magnetic forces from fields with special symmetries are introduced.
