14 citations · 58 across the 7 of their papers we have counts for
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Dynamic and static properties of Quantum Hall and Harmonic Oscillator systems on the non-commutative plane
Nicolas Nessi, Lucas Sourrouille
We study two quantum mechanical systems on the noncommutative plane using a representation independent approach. First, in the context of the Landau problem, we obtain an explicit…
Landau levels for graphene layers in noncommutative plane
Lucas Sourrouille
Starting from the zero modes of the single and bilayer graphene Hamiltonians we develop a mechanism to construct the eigenstates and eigenenergies for Landau levels in noncommutati…
Analytic solution for Gauged Dirac-Weyl equation in -dimensions
Juan Sebastián Ardenghi, Alfredo Juan, Federico Escudero +1
A gauged Dirac-Weyl equation in (2+1)-dimension is considered. This equation has the particularity to describe the states of a graphene Dirac matter. In particular we are intereste…
Charged Nielsen-Olesen vortices from a Generalized Abelian Chern-Simons-Higgs Theory
Lucas Sourrouille
We consider a generalization of abelian Chern-Simons-Higgs model by introducing a nonstandard kinetic term. In particular we show that the Bogomolnyi equations of the abelian Higgs…
Self-Dual Soliton Solution in a Generalized Jackiw-Pi Model
Lucas Sourrouille
We consider a generalization of Jackiw-Pi model by introducing a nonstandard kinetic term. We present a Bogomolnyi framework for this theory and as a particular case we show that t…
A note on Chern-Simons CP(1) solitons
Lucas Sourrouille
We study a gauged CP(1) Chern-Simons system. Using the equations of motion we find, for a static field configuration, that the divergence of the electric field is related to the el…