Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials
Mathematical Physics
2015-05-28 v1 math.MP
Abstract
A set of r non-Hermitian oscillator Hamiltonians in r dimensions is shown to be simultaneously diagonalizable. Their spectra is real and the common eigenstates are expressed in terms of multiple Charlier polynomials. An algebraic interpretation of these polynomials is thus achieved and the model is used to derive some of their properties.
Cite
@article{arxiv.1106.5243,
title = {Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials},
author = {Hiroshi Miki and Luc Vinet and Alexei Zhedanov},
journal= {arXiv preprint arXiv:1106.5243},
year = {2015}
}
Comments
15 pages