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arXiv quant-ph/9901015quant-ph
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描述光子偏振态的算符

Operator for Describing Polarization States of a Photon

Hong-Yi Fan, Q. Y. Liu

摘要:

基于Riemann-Silberstein复矢量$F$描述的量子化电磁场,构造了$% F$的本征矢量集,构成了一个正交完备表示.在$% F $的基础上,我们引入了一个新的算符来描述偏振光子的左右偏振态的相对比值,在$F^{\prime}s$本征矢量基中,该算符明显地表现出类似于经典光学中光束两个偏振方向之间的相位差的行为。

英文摘要:

Based on the quantized electromagnetic field described by the Riemann-Silberstein complex vector $F$, we construct the eigenvector set of $% F$, which makes up an orthonormal and complete representation. In terms of $% F $ we then introduce a new operator which can describe the relative ratio of the left-handed and right-handed polarization states of a polarized photon .In $F^{\prime}s$ eigenvector basis the operator manifestly exhibits a behaviour which is similar to a phase difference between two orientations of polarization of a light beam in classical optics.

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