量子光学模型及其赝厄米性的近似方法的发展
Development of an approximate method for quantum optical models and their pseudo-Hermicity
摘要：
本文提出了一种近似方法，得到了某些量子光学模型的本征值和本征函数的解析表达式。该方法是基于李型变换的哈密尔顿。在特定情况下，证明了$E\times ε$ Jahn-Teller Hamilton可以在建议的近似框架内轻松求解。该方法概念简单，易于推广到其它量子光学模型。我们还表明，对于一个纯粹的虚耦合的$E\times ε$哈密顿成为非厄米，但$Pσ_{0}$对称。这种方法的可能推广概述。
英文摘要：
An approximate method is suggested to obtain analytical expressions for the eigenvalues and eigenfunctions of the some quantum optical models. The method is based on the Lie-type transformation of the Hamiltonians. In a particular case it is demonstrated that $E\times ε$ Jahn-Teller Hamiltonian can easily be solved within the framework of the suggested approximation. The method presented here is conceptually simple and can easily be extended to the other quantum optical models. We also show that for a purely imaginary coupling the $E\times ε$ Hamiltonian becomes non-Hermitian but $Pσ_{0}$-symmetric. Possible generalization of this approach is outlined.
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