RT Journal Article T1 Invisibility and PT Symmetry: A Simple Geometrical Viewpoint A1 Sánchez Soto, Luis Lorenzo A1 Monzón Serrano, Juan José AB 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. PB MDPI SN 2073-8994 YR 2014 FD 2014 LK https://hdl.handle.net/20.500.14352/35546 UL https://hdl.handle.net/20.500.14352/35546 LA eng NO Received: 24 February 2014 / Revised: 12 May 2014 / Accepted: 14 May 2014 / Published: 22 May 2014This article belongs to the Special Issue Physics based on Two-by-two Matrices. NO Ministerio de Economía y Competitividad (MINECO) DS Docta Complutense RD 10 abr 2025