The geometrical basis of PT symmetry
| dc.contributor.author | Sánchez Soto, Luis Lorenzo | |
| dc.contributor.author | Monzón Serrano, Juan José | |
| dc.date.accessioned | 2023-06-17T13:18:45Z | |
| dc.date.available | 2023-06-17T13:18:45Z | |
| dc.date.issued | 2018-10 | |
| dc.description | © 2018 by the authors. Licensee MDPI, Basel, Switzerland Author 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. | |
| dc.description.abstract | 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. | |
| dc.description.department | Depto. de Óptica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/50675 | |
| dc.identifier.doi | 10.3390/sym10100494 | |
| dc.identifier.issn | 2073-8994 | |
| dc.identifier.officialurl | http://dx.doi.org/10.3390/sym10100494 | |
| dc.identifier.relatedurl | https://www.mdpi.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/12995 | |
| dc.issue.number | 10 | |
| dc.journal.title | Symmetry | |
| dc.language.iso | eng | |
| dc.publisher | MDPI | |
| dc.relation.projectID | FIS2015-67963-P | |
| dc.rights | Atribución 3.0 España | |
| dc.rights.accessRights | open access | |
| dc.rights.uri | https://creativecommons.org/licenses/by/3.0/es/ | |
| dc.subject.cdu | 535 | |
| dc.subject.keyword | Non-hermitian hamiltonians | |
| dc.subject.keyword | Complex periodic potentials | |
| dc.subject.keyword | Quantum-mechanics | |
| dc.subject.keyword | Pt-symmetry | |
| dc.subject.keyword | Eigenvalues | |
| dc.subject.keyword | Equivalent | |
| dc.subject.keyword | Scattering | |
| dc.subject.keyword | Spectra | |
| dc.subject.ucm | Óptica (Física) | |
| dc.subject.unesco | 2209.19 Óptica Física | |
| dc.title | The geometrical basis of PT symmetry | |
| dc.type | journal article | |
| dc.volume.number | 10 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 88b797ff-cbd7-4498-a9c7-4e39f4fa4776 | |
| relation.isAuthorOfPublication | 4d5601ee-f965-4904-ae2e-2f1515a3f669 | |
| relation.isAuthorOfPublication.latestForDiscovery | 88b797ff-cbd7-4498-a9c7-4e39f4fa4776 |
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