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.
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01 April 2019
After publication, the authors realized that eqs. (28a)-(28d), along with one reference were incorrect. Here is their correct versions.
01 April 2019
After publication, the authors realized that eqs. (28a)-(28d), along with one reference were incorrect. Here is their correct versions.
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Díaz-Bautista, E., Fernández, D.J. Graphene coherent states. Eur. Phys. J. Plus 132, 499 (2017). https://doi.org/10.1140/epjp/i2017-11794-y
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DOI: https://doi.org/10.1140/epjp/i2017-11794-y