Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials

Details Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials

2011-06-26

arxiv.org/abs/1106.5243v1

Physics

Mathematical Physics

15 pages

Scientific paper

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.

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