Perturbation method for non-square Hamiltonians and its application to polynomial oscillators
Znojil, Miloslav
arXiv, 0503011 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-03-07
Classification:  Mathematical Physics,  81Q05,  34L16,  34M25,  65F15,  15A90 
@article{0503011,
     author = {Znojil, Miloslav},
     title = {Perturbation method for non-square Hamiltonians and its application to
  polynomial oscillators},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503011}
}

Znojil, Miloslav. Perturbation method for non-square Hamiltonians and its application to
  polynomial oscillators. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503011/