https://doi.org/10.1140/epjp/i2017-11794-y
Regular Article
Graphene coherent states
Physics Department, Cinvestav, P.O. Box. 14-740, 07000, Mexico City, Mexico
* e-mail: ediaz@fis.cinvestav.mx
Received:
2
September
2017
Accepted:
31
October
2017
Published online:
29
November
2017
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2017
