Perturbation method for non-square Hamiltonians and its application to polynomial oscillators
| dc.creator | Znojil, Miloslav | |
| dc.date | 2005-03-07 | |
| dc.date | 2005-04-25 | |
| dc.date.accessioned | 2026-07-07T04:31:55Z | |
| dc.date.available | 2026-07-07T04:31:55Z | |
| dc.description | A remarkable extension of Rayleigh-Schroedinger perturbation method is found. Its (N+q) x (N+1) - dimensional Hamiltonians (as emerging, e.g., during quasi-exact constructions of bound states) are non-square matrices at q > 1. The role of an eigenvalue is played by an energy/coupling q-plet. In all orders, its perturbations are defined via a q-dimensional inversion. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0503011 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0503011 | |
| dc.identifier | Phys. Lett. A 341 (2005) 67 - 80 | |
| dc.identifier | doi:10.1016/j.physleta.2005.04.061 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57997 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81Q05; 34L16; 34M25; 65F15; 15A90 | |
| dc.title | Perturbation method for non-square Hamiltonians and its application to polynomial oscillators | |
| dc.type | text |