%0 Journal Article
%A Sánchez Soto, Luis Lorenzo
%A Monzón Serrano, Juan José
%T The geometrical basis of PT symmetry
%D 2018
%@ 2073-8994
%U https://hdl.handle.net/20.500.14352/12995
%X We reelaborate on the basic properties of PT symmetry from a geometrical perspective. The transfer matrix associated with these systems induces a Mobius transformation in the complex plane. The trace of this matrix classifies the actions into three types that represent rotations, translations, and parallel displacements. We find that a PT invariant system can be pictured as a complex conjugation followed by an inversion in a circle. We elucidate the physical meaning of these geometrical operations and link them with measurable properties of the system.
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