| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1867107 | Physics Letters A | 2011 | 5 Pages |
Abstract
A set of r non-Hermitian oscillator Hamiltonians in r dimensions is shown to be simultaneously diagonalizable. Their spectra are 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.
► A set of r non-Hermitian oscillator Hamiltonians in r dimensions is presented. ► Their spectra are real. ► The common eigenstates are expressed in terms of multiple Charlier polynomials (MCP). ► This “integrable” model allows to interpret structural formulas of the MCPs.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Hiroshi Miki, Luc Vinet, Alexei Zhedanov,