The PT Symmeter » Luc Vinet http://ptsymmetry.net PT Symmetry articles and information Wed, 24 Dec 2014 09:54:41 +0000 en hourly 1 http://wordpress.org/?v=3.0.4 Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials http://ptsymmetry.net/?p=449&utm_source=rss&utm_medium=rss&utm_campaign=non-hermitian-oscillator-hamiltonians-and-multiple-charlier-polynomials http://ptsymmetry.net/?p=449#comments Tue, 28 Jun 2011 07:15:39 +0000 dwh http://ptsymmetry.net/?p=449 Hiroshi Miki, Luc Vinet, Alexei Zhedanov

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.

http://arxiv.org/abs/1106.5243
Mathematical Physics (math-ph)

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