Chinese Physics

Eigenstates and eigenergies of seven bosonic modes mixing models

Zhiming Zhan, Weibin Li, Wen‐Xing Yang

Published Dec 23, 2004• 3 citations

Abstract

We present the explicit analytical results of all the eigenstates and eigenvalues by using a parameter λ without the assumption of Bethe ansatz for three different kinds of seven bosonic modes mixing models. It is shown that the parameter is determined by the roots of a simple polynomial. Besides, we also accurately obtain the explicit analytical expressions of infinite eigenstates and energies without any unknown parameter.

DOI: 10.1088/1009-1963/14/1/027

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