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arXiv 0806.2211quant-ph
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宏观量子电动力学与对偶性

Macroscopic quantum electrodynamics and duality

Stefan Yoshi Buhmann, Stefan Scheel

摘要:

讨论了在什么条件下电场和磁场的对偶性是宏观量子电动力学的有效对称性。结果表明,麦克斯韦方程组中的自由电荷的情况下,满足对偶不变性的运营商的水平上,而这是不正确的洛伦兹力和原子-场耦合一般。我们证明了导出量,如卡西米尔力,局部场校正的衰减率以及范德华势是不变的,相对于一个全球性的交换的电和磁的数量。这种精确的对称性可以用来在已有构型的基础上推导新构型的物理学。

英文摘要:

We discuss under what conditions the duality between electric and magnetic fields is a valid symmetry of macroscopic quantum electrodynamics. It is shown that Maxwell's equations in the absence of free charges satisfy duality invariance on an operator level, whereas this is not true for Lorentz forces and atom--field couplings in general. We prove that derived quantities like Casimir forces, local-field corrected decay rates as well as van-der-Waals potentials are invariant with respect to a global exchange of electric and magnetic quantities. This exact symmetry can be used to deduce the physics of new configurations on the basis of already established ones.

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