Graphene coherent states
arXiv:1703.06190 · doi:10.1140/epjp/i2017-11794-y
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.
17 pages, 32 figures
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- Dirac materials
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Cited by in corpus (15)
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- Trends in supersymmetric quantum mechanics
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- Valley-dependent time evolution of coherent electron states in tilted anisotropic Dirac materials
- Electron in bilayer graphene with magnetic fields leading to shape invariant potentials
- Bilayer graphene in magnetic fields generated by supersymmetry
- Barut-Girardello coherent states for anisotropic 2D-Dirac materials
- Coherent states in magnetized anisotropic 2D Dirac materials
- Coherent states for graphene under the interaction of crossed electric and magnetic fields
- An approximation to the Woods-Saxon potential based on a contact interaction
- Schrödinger-type 2D coherent states of magnetized uniaxially strained graphene
- Coherent states in the symmetric gauge for graphene under a constant perpendicular magnetic field
- Quantum statistical properties of multiphoton hypergeometric coherent states and the discrete circle representation
- Coherent states for dispersive pseudo-Landau-levels in strained honeycomb lattices
- Multiphoton coherent states for bilayer graphene