RT Journal Article
T1 The geometrical basis of PT symmetry
A1 Sánchez Soto, Luis Lorenzo
A1 Monzón Serrano, Juan José
AB 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.
PB MDPI
SN 2073-8994
YR 2018
FD 2018-10
LK https://hdl.handle.net/20.500.14352/12995
UL https://hdl.handle.net/20.500.14352/12995
LA eng
NO © 2018 by the authors. Licensee MDPI, Basel, SwitzerlandAuthor Contributions: Both authors contributed equally to all aspects of preparing this manuscript.Funding: Financial support from the Spanish MINECO (Grant No. FIS2015-67963-P) is gratefully acknowledged.Acknowledgments: We acknowledge illuminating discussions with José María Montesinos.Conflicts of Interest: The authors declare no conflicts of interest.
NO Ministerio de Economía y Competitividad (MINECO)
DS Docta Complutense
RD 10 abr 2025