Non-hermitian Hamiltonians and Painlev\'e IV equation with real parameters
Mathematical Physics
2011-07-20 v2 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
In this letter we will use higher-order supersymmetric quantum mechanics to obtain several families of complex solutions of the Painleve IV equation with real parameters. We shall also study the algebraic structure, the eigenfunctions and the energy spectra of the corresponding non-hermitian Hamiltonians.
Keywords
Cite
@article{arxiv.1104.3599,
title = {Non-hermitian Hamiltonians and Painlev\'e IV equation with real parameters},
author = {David Bermudez and David J. Fernandez C},
journal= {arXiv preprint arXiv:1104.3599},
year = {2011}
}
Comments
10 pages, 7 figures