Nonlinear pseudo-supersymmetry in the framework of N-fold supersymmetry
| dc.contributor.author | González López, Artemio | |
| dc.contributor.author | Tanaka, Toshiaki | |
| dc.date.accessioned | 2023-06-20T10:58:41Z | |
| dc.date.available | 2023-06-20T10:58:41Z | |
| dc.date.issued | 2006-04-07 | |
| dc.description | ©IOP Publishing. This work was partially supported by Spain’s DGI under the grant No. BFM2002-02646 (AG-L) as well as by the National Science Council of the Republic of China under the grant No. NSC-93-2112-M-032-009 (TT). | |
| dc.description.abstract | We recall the importance of recognizing the different mathematical nature of various concepts relating to PT -symmetric quantum theories. After clarifying the relation between supersymmetry and pseudo-supersymmetry, we prove generically that nonlinear pseudo-supersymmetry, recently proposed by Sinha and Roy, is just a special case of N -fold supersymmetry. In particular, we show that all the models constructed by these authors have type A 2-fold supersymmetry. Furthermore, we prove that an arbitrary one-body quantum Hamiltonian which admits two (local) solutions in closed form belongs to type A 2-fold supersymmetry, irrespective of whether or not it is Hermitian, PT -symmetric, pseudo-Hermitian, and so on. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGI, Spain | |
| dc.description.sponsorship | National Science Council of the Republic of China | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/32752 | |
| dc.identifier.doi | 10.1088/0305-4470/39/14/014 | |
| dc.identifier.issn | 0305-4470 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1088/0305-4470/39/14/014 | |
| dc.identifier.relatedurl | http://iopscience.iop.org | |
| dc.identifier.relatedurl | http://arxiv.org/abs/quant-ph/0602177 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/51544 | |
| dc.issue.number | 14 | |
| dc.journal.title | Journal of physics A: Mathematical and general | |
| dc.language.iso | eng | |
| dc.page.final | 3723 | |
| dc.page.initial | 3715 | |
| dc.publisher | IOP Publishing | |
| dc.relation.projectID | BFM2002-02646 (AG-L) | |
| dc.relation.projectID | NSC-93-2112-M-032-009 (TT) | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 51-73 | |
| dc.subject.keyword | Non-hermitian hamiltonians | |
| dc.subject.keyword | Quantum-mechanics | |
| dc.subject.keyword | Pt-symmetry | |
| dc.subject.keyword | Periodic potentials | |
| dc.subject.keyword | Real spectra | |
| dc.subject.keyword | Systems | |
| dc.subject.keyword | Transformations | |
| dc.subject.ucm | Física-Modelos matemáticos | |
| dc.subject.ucm | Física matemática | |
| dc.title | Nonlinear pseudo-supersymmetry in the framework of N-fold supersymmetry | |
| dc.type | journal article | |
| dc.volume.number | 39 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 7f260dbe-eebb-4d43-8ba9-d8fbbd5b32fc | |
| relation.isAuthorOfPublication.latestForDiscovery | 7f260dbe-eebb-4d43-8ba9-d8fbbd5b32fc |
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