Article

# An amplitude-phase (Ermakov-Lewis) approach for the Jackiw-Pi model of bilayer graphene

Journal of Physics A Mathematical and Theoretical (Impact Factor: 1.77). 01/2009; DOI:10.1088/1751-8113/42/4/042004
Source: arXiv

ABSTRACT In the context of bilayer graphene we use the simple gauge model of Jackiw and Pi to construct its numerical solutions in powers of the bias potential V according to a general scheme due to Kravchenko. Next, using this numerical solutions, we develop the Ermakov-Lewis approach for the same model. This leads us to numerical calculations of the Lewis-Riesenfeld phases that could be of forthcoming experimental interest for bilayer graphene. We also present a generalization of the Ioffe-Korsch nonlinear Darboux transformation

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Journal of Physics A Mathematical and Theoretical 01/2012; 45:075201 (21p). · 1.77 Impact Factor

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