论文标题
双层石墨烯相干状态
Bilayer graphene coherent states
论文作者
论文摘要
在本文中，我们考虑了双层石墨烯中电子与恒定均匀磁场的相互作用，该磁场与双层表面正交。将脱离有效的哈密顿量的能量本征状态，将建造相应的连贯状态。为此，首先，我们将确定适当的创建和歼灭操作员，以便随后将相干状态作为an灭算子的特征状态，并具有复杂的特征值。然后，我们将计算一些物理量，因为海森堡的不确定性关系，概率和电流密度以及平均能量值。最后，我们将探索这些状态的时间演变，并将其与单层石墨烯相干状态的相应演变进行比较。
In this paper we consider the interaction of electrons in bilayer graphene with a constant homogeneous magnetic field which is orthogonal to the bilayer surface. Departing from the energy eigenstates of the effective Hamiltonian, the corresponding coherent states will be constructed. For doing this, first we will determine appropriate creation and annihilation operators in order to subsequently derive the coherent states as eigenstates of the annihilation operator with complex eigenvalue. Then, we will calculate some physical quantities, as the Heisenberg uncertainty relation, the probabilities and current density as well as the mean energy value. Finally, we will explore the time evolution for these states and we will compare it with the corresponding evolution for monolayer graphene coherent states.
