论文标题
石墨烯广义相干状态
Graphene generalized coherent states
论文作者
论文摘要
在本文中,我们在单层中的电子或放置在外部磁场中的双层石墨烯中构建了广义相干状态。首先,我们定义了一套适当的梯子操作员,该操作员在每个哈密顿量上都作用于本征函数,之后我们通过几个定义得出了广义的连贯状态,并分析了阶梯运算符之间的换向关系。然后,我们确定导致相干状态之间相互等价的条件。最后,计算了一些物理量,我们研究了通用石墨烯相干状态的时间演化。
In this paper we construct the generalized coherent states for an electron in monolayer or bilayer graphene placed in an external magnetic field. At first we define an appropriate set of ladder operators acting on the eigenfunctions for each Hamiltonian, afterwards we derive the generalized coherent states through several definitions and analyze the commutation relationship between the ladder operators. Then we determine the conditions leading to the mutual equivalence between coherent states. Finally, some physical quantities are calculated and we study the time evolution for the generalized graphene coherent states.