PT invariant Non-Hermitian Potentials with Real QES Eigenvalues
| dc.creator | Khare, Avinash | |
| dc.creator | Mandal, Bhabani Prasad | |
| dc.date | 2000-04-05 | |
| dc.date | 2000-07-06 | |
| dc.date.accessioned | 2026-07-07T05:59:50Z | |
| dc.date.available | 2026-07-07T05:59:50Z | |
| dc.description | We show that at least the quasi-exactly solvable eigenvalues of the Schrödinger equation with the potential $V(x) = -(ζ\cosh 2x -iM)^2$ as well as the periodic potential $V(x) = (ζ\cos 2θ-iM)^2$ are real for the PT-invariant non-Hermitian potentials in case the parameter $M$ is any odd integer. We further show that the norm as well as the weight functions for the corresponding weak orthogonal polynomials are also real. | |
| dc.description | 13 pages, Latex, no figs Revised version, Major changes in Title, Abstract, Introduction and Conclusion; Refs added | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0004019 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0004019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/88825 | |
| dc.subject | Quantum Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | PT invariant Non-Hermitian Potentials with Real QES Eigenvalues | |
| dc.type | text |