| Quantum Hall Effect In Bilayer Systems And The Noncommutative Plane: A Toy Model Approach (2005) | |||||||||
Abstract | |||||||||
| We have presented a quantum mechanical toy model for the study of Coulomb interactions in Quantum Hall (QH) system. Inclusion of Coulomb interaction is essential for the study of {\it{bilayer}} QH system and our model can simulate it, in the compound state, in a perturbative framework. We also show that in the noncommutative plane, the Coulomb interaction is modified at a higher order in the noncommutativity parameter $\theta$, and only if $\theta$ varies from layer to layer in the QH system.. Comment: Slightly expanded version, Eqs. (18) and (19) added, Conclusions unchanged, To appear in Phys.Lett.A | |||||||||
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