Communications in Theoretical Physics

Analytical Results of Eigenstates and Eigenenergies for a Classical Model of Many Bosonic Modes Mixing

Wen‐Xing Yang, Jiahua Li, Zhiming Zhan, Jin Li-Xia

Published Nov 15, 2004• 0 citations

Abstract

The analytical expressions of eigenstates and eigenenergies are demonstrated using a parameter λ without the assumption of Bethe anstz for two kinds of N-mode mixing models. The parameter is shown to be determined by the roots of a simple polynomial and is solvable analytically or numerically. In addition, the exact analytical expressions of eigenstates and eigenenergies are illustrated without any unknown parameter.

DOI: 10.1088/0253-6102/42/5/689

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