Nonlinear Pseudo-Supersymmetry in the Framework of N-fold Supersymmetry
| dc.creator | Gonzalez-Lopez, Artemio | |
| dc.creator | Tanaka, Toshiaki | |
| dc.date | 2006-02-22 | |
| dc.date | 2006-03-24 | |
| dc.date.accessioned | 2026-07-07T07:04:22Z | |
| dc.date.available | 2026-07-07T07:04:22Z | |
| dc.description | 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 | 10 pages, no figures; typos corrected | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0602177 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0602177 | |
| dc.identifier | J. Phys. A: Math. Gen. 39 (2006) 3715-3723 | |
| dc.identifier | doi:10.1088/0305-4470/39/14/014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109337 | |
| dc.subject | Quantum Physics | |
| dc.subject | Mathematical Physics | |
| dc.title | Nonlinear Pseudo-Supersymmetry in the Framework of N-fold Supersymmetry | |
| dc.type | text |