Tudor Tiberiu
Appl Opt. 2014 Apr 1;53(10):B80-6. doi: 10.1364/AO.53.000B80.
This paper constitutes an application of the polarization optics in the problem of quantum measurement. The non-Hermitian operators of the nonorthogonal multilayer optical polarizers represent observables in the sense of the generalized quantum theory of measurement. The intimate spectral structure of these polarizers can be disclosed in the frame of skew-angular vector bases and biorthonormal vector systems. We show that these polarizers correspond to skew projectors; their operators are "generated" by skew projectors in the sense of the spectral theorem of linear operators theory. Thus the common feature of all the polarizers (Hermitian and non-Hermitian) is that their "nuclei" are (orthogonal or skew) projectors--the generating projectors.
本文构成了偏振光学在量子测量问题中的应用。非正交多层光学偏振器的非厄米算符在广义量子测量理论的意义上表示可观测量。这些偏振器的精细光谱结构可以在斜角向量基和双正交向量系统的框架中揭示。我们表明这些偏振器对应于斜投影算子；从线性算子理论的谱定理的意义上讲，它们的算符由斜投影算子“生成”。因此，所有偏振器（厄米和非厄米）的共同特征是它们的“核”是（正交或斜）投影算子——生成投影算子。
