The linear PT-symmetric complex potential
| dc.contributor.author | Lombard, R. J. | |
| dc.contributor.author | Mezhoud, R. | |
| dc.date.accessioned | 2018-01-22T09:20:40Z | |
| dc.date.available | 2018-01-22T09:20:40Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | The spectrum of a PT-symmetric complex-valued linear potential is investigated. Working in the D =1 dimensional space, we consider V(x)= jxj+icx. Semianalytical solutions are given by using the properties of the Airy functions. The numerical integration of the differential equation system is discussed. We show that the number of eigenstates with a real eigenvalue is limited, depending on the ratio c= and on the quantum number n. This is reflecting the spontaneous breaking of PT symmetry. For the ground state, we conjecture the eigenvalue to be real for any value of c | en_US |
| dc.identifier.issn | 1221-146X | |
| dc.identifier.uri | https://dspace.univ-boumerdes.dz/handle/123456789/4370 | |
| dc.language.iso | en | en_US |
| dc.publisher | Institute of Atomic Physics | en_US |
| dc.relation.ispartofseries | Romanian Journal of Physics/ Vol.62, N° 112 (2017);16 p. | |
| dc.subject | Quantum mechanics | en_US |
| dc.subject | Bound states | en_US |
| dc.subject | complex PT-symmetric potentials | en_US |
| dc.title | The linear PT-symmetric complex potential | en_US |
| dc.type | Article | en_US |