Graphene coherent states
Mathematical Physics
2019-02-08 v3 Superconductivity
math.MP
Quantum Physics
Abstract
In this paper, we will construct the coherent states for a Dirac electron in graphene placed in a constant homogeneous magnetic field which is orthogonal to the graphene surface. First of all, we will identify the appropriate annihilation and creation operators. Then, we will derive the coherent states as eigenstates of the annihilation operator, with complex eigenvalues. Several physical quantities, as the Heisenberg uncertainty product, probability density and mean energy value, will be as well explored.
Keywords
Cite
@article{arxiv.1703.06190,
title = {Graphene coherent states},
author = {Erik Díaz-Bautista and David J. Fernandez C},
journal= {arXiv preprint arXiv:1703.06190},
year = {2019}
}
Comments
17 pages, 32 figures