Non-hermitian Hamiltonians and Painlevé IV equation with real parameters

Details Non-hermitian Hamiltonians and Painlevé IV equation with real parameters Non-hermitian Hamiltonians and Painlevé IV equation with real parameters

2011-04-18

arxiv.org/abs/1104.3599v2

Phys.Lett.A375:2974-2978,2011

Physics

Mathematical Physics

10 pages, 7 figures

Scientific paper

10.1016/j.physleta.2011.06.042

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.

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