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| Titre: | The linear PT-symmetric complex potential |
| Auteur(s): | Lombard, R. J.
Mezhoud, R. |
| Mots-clés: | Quantum mechanics
Bound states
complex PT-symmetric potentials |
| Date de publication: | 2017 |
| Editeur: | Institute of Atomic Physics |
| Collection/Numéro: | Romanian Journal of Physics/ Vol.62, N° 112 (2017);16 p. |
| Résumé: | 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 |
| URI/URL: | http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/4370 |
| ISSN: | 1221-146X |
| Collection(s) : | Publications Internationales
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