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Invisibility and PT Symmetry: A Simple Geometrical Viewpoint

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Sánchez Soto, Luis Lorenzo and Monzón Serrano, Juan José (2014) Invisibility and PT Symmetry: A Simple Geometrical Viewpoint. Symmetry, 6 (2). pp. 396-408. ISSN 2073-8994

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Official URL: http://dx.doi.org/10.3390/sym6020396




Abstract

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.


Item Type:Article
Additional Information:

Received: 24 February 2014 / Revised: 12 May 2014 / Accepted: 14 May 2014 / Published: 22 May 2014
This article belongs to the Special Issue Physics based on Two-by-two Matrices.

Uncontrolled Keywords:ΡT Symmetry; SL(2, C); Lorentz Group; Hyperbolic Geometry
Subjects:Sciences > Physics > Optics
Sciences > Physics > Particles
ID Code:45595
Deposited On:30 Nov 2017 08:25
Last Modified:11 Dec 2017 15:25

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