Perturbation method for non-square Hamiltonians and its application to polynomial oscillators
Mathematical Physics
2007-05-23 v2 math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0503011,
title = {Perturbation method for non-square Hamiltonians and its application to polynomial oscillators},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:math-ph/0503011},
year = {2007}
}
Comments
21 pages