时空色散各向异性磁介质中的电磁场量子化
Electromagnetic field quantization in an anisotropic magnetodielectric medium with spatial-temporal dispersion
摘要：
通过将线性、各向异性、非均匀磁介质模型化为两组独立的谐振子，实现了电磁场的量子化。介质的电和磁极化表示为描述磁介电介质的梯形算子的线性组合。得到了介质的麦克斯韦方程和本构方程作为整个系统的海森堡方程。介质的电磁兼容性是根据介质与电磁场耦合的张量得到的。根据介质的阶梯算符，得到了电磁场算符的显式表达式。
英文摘要：
By modeling a linear, anisotropic and inhomogeneous magnetodielectric medium with two independent set of harmonic oscillators, electromagnetic field is quantized in such a medium. The electric and magnetic polarizations of the medium are expressed as linear combinations of the ladder operators describing the magnetodielectric medium. The Maxwell and the constitutive equations of the medium are obtained as the Heisenberg equations of the total system. The electric and magnetic susceptibilities of the medium are obtained in terms of the tensors coupling the medium with the electromagnetic field. The explicit forms of the electromagnetic field operators are obtained in terms of the ladder operators of the medium.
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