Conjecture on the analyticity of PT-symmetric potentials and the reality of their spectra
| dc.creator | Bender, Carl M | |
| dc.creator | Hook, Daniel W | |
| dc.creator | Mead, Lawrence R | |
| dc.date | 2008-07-02 | |
| dc.date | 2008-07-03 | |
| dc.date.accessioned | 2026-07-07T11:52:13Z | |
| dc.date.available | 2026-07-07T11:52:13Z | |
| dc.description | The spectrum of the Hermitian Hamiltonian $H=p^2+V(x)$ is real and discrete if the potential $V(x)\to\infty$ as $x\to\pm\infty$. However, if $V(x)$ is complex and PT-symmetric, it is conjectured that, except in rare special cases, $V(x)$ must be analytic in order to have a real spectrum. This conjecture is demonstrated by using the potential $V(x)=(ix)^a|x|^b$, where $a,b$ are real. | |
| dc.description | 8 Pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0807.0424 | |
| dc.identifier | http://arxiv.org/abs/0807.0424 | |
| dc.identifier | J.Phys.A41:392005,2008 | |
| dc.identifier | doi:10.1088/1751-8113/41/39/392005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/204160 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Conjecture on the analyticity of PT-symmetric potentials and the reality of their spectra | |
| dc.type | text |