洛伦兹群论与光的偏振
Lorentz group theory and polarization of the light
摘要：
在矢量Stokes-Mueller和旋量Jones形式主义的框架下，详细说明了洛伦兹群理论的一些事实，以便研究光偏振光学问题。由于狭义相对论中各向同性矢量和类时矢量的性质有很大的不同，我们可以预期在描述完全偏振光和部分偏振光时它们的主要区别。特别是，当转向旋量技术在偏振光的上下文中，揭示了实质性的差异。由于琼斯复形式主义与洛伦兹群的旋量对象有密切关系，因此在光偏振领域内，我们可以在光学台上物理实现正交L_{+} ^{ \uparrow } = SO_{0}（3.1）和旋量SL（2.C）群之间的一些微妙的拓扑区别。群的这些拓扑差异在物理时空的旋量结构问题中找到了它们的推论，并考虑了一些新的观点。
英文摘要：
Some facts of the theory of the Lorentz group are specified for looking at the problems of light polarization optics in the frames of vector Stokes-Mueller and spinor Jones formalism. In view of great differences between properties of isotropic and time-like vectors in Special Relativity we should expect principal differences in describing completely polarized and partly polarized light. In particular, substantial differences are revealed when turning to spinor techniques in the context of the polarized light. Because Jones complex formalism has close relation to spinor objects of the Lorentz group, within the field of the light polarization we could have physical realizations on the optical desk of some subtle topological distinctions between orthogonal L_{+}^{\uparrow} =SO_{0}(3.1) and spinor SL(2.C) groups. These topological differences of the groups find their corollaries in the problem of the so-called spinor structure of physical space-time, some new points are considered.
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