不可见性与PT对称性:一个简单的几何观点
Invisibility and PT Symmetry: A Simple Geometrical Viewpoint
摘要:
我们给出了一个简单的帐户的传输矩阵的性质为一个复杂的一维潜力,特别注意单向不可见的特殊情况。在适当的变量下,不可见势表现为零旋转,这导致了无质量粒子的螺旋度-规范对称性。在双曲几何中,这可以通过莫比乌斯变换解释为平行位移,一种没有欧几里德类比的几何作用。
英文摘要:
We give a simplified account of the properties of the transfer matrix for a complex one-dimensional potential, paying special attention to the particular instance of unidirectional invisibility. In appropriate variables, invisible potentials appear as performing null rotations, which lead to the helicity-gauge symmetry of massless particles. In hyperbolic geometry, this can be interpreted, via Möbius transformations, as parallel displacements, a geometric action that has no Euclidean analogy.
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