On the existence of monodromies for the Rabi model
On the existence of monodromies for the Rabi model
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DOI：
10.1088/1751-8113/49/19/194002
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发表时间：
2016-05-13
影响因子：
2.1
通讯作者：
de Queiroz, Amilcar Rabelo
中科院分区：
文献类型：
--
作者：
da Cunha, Bruno Carneiro;de Almeida, Manuela Carvalho;de Queiroz, Amilcar Rabelo
我们讨论与拉比模型特征值问题的奇点相关的单峰的存在。对完整单峰数据的完全控制需要驯服与独特的不规则奇点相关的斯托克斯现象。单向数据，特别是复合单向数据，通过等单向方法和 Painleve V 的 tau 函数以模型参数的形式写入。这些数据提供了获得 Rabi 模型的量化谱的系统方法。
We discuss the existence of monodromies associated with the singular points of the eigenvalue problem for the Rabi model. The complete control of the full monodromy data requires the taming of the Stokes phenomenon associated with the unique irregular singular point. The monodromy data, in particular, the composite monodromy, are written in terms of the parameters of the model via the isomonodromy method and the tau function of the Painleve V. These data provide a systematic way to obtain the quantized spectrum of the Rabi model.