Graphene coherent states
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Publication:6284469
DOI10.1140/EPJP/I2017-11794-YarXiv1703.06190MaRDI QIDQ6284469
E. Díaz-Bautista, David J. Fernández C.
Publication date: 17 March 2017
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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