In this work we describe semiclassical states in graphene under a constant perpendicular magnetic field by constructing coherent states in the Barut–Girardello sense. Since we want to keep track of the angular momentum, the use of the symmetric gauge and polar coordinates seemed the most logical choice. Different classes of coherent states are obtained by means of the underlying algebra system, which consists of the direct sum of two Heisenberg–Weyl algebras. The most interesting cases are a kind of partial coherent states and the coherent states with a well-defined total angular momentum.

中文翻译：

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恒定垂直磁场下石墨烯对称量规中的相干态

在这项工作中，我们通过构造Barut-Girardello意义上的相干态来描述石墨烯在恒定垂直磁场下的半经典态。由于我们要跟踪角动量，因此使用对称的量规和极坐标似乎是最合乎逻辑的选择。可以通过基础代数系统获得不同类别的相干态，该系统由两个Heisenberg-Weyl代数的直接和组成。最有趣的情况是一种部分相干态和具有明确定义的总角动量的相干态。