Darboux transformations for quasi-exactly solvable Hamiltonians
Quantum Physics
2016-09-08 v1
Abstract
We construct new quasi-exactly solvable one-dimensional potentials through Darboux transformations. Three directions are investigated: Reducible and two types of irreducible second-order transformations. The irreducible transformations of the first type give singular intermediate potentials and the ones of the second type give complex-valued intermediate potentials while final potentials are meaningful in all cases. These developments are illustrated on the so-called radial sextic oscillator.
Keywords
Cite
@article{arxiv.quant-ph/0201105,
title = {Darboux transformations for quasi-exactly solvable Hamiltonians},
author = {N. Debergh and Boris F. Samsonov and B. Van Den Bossche},
journal= {arXiv preprint arXiv:quant-ph/0201105},
year = {2016}
}
Comments
11 pages, Latex