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Published in 2017 at "AIP Advances"
DOI: 10.1063/1.4972854
Abstract: Recent experiments indicate the presence of new anisotropic fractional quantum Hall states at regimes not anticipated before. These experiments raise many fundamental questions regarding the inner nature of the electronic system that leads to such…
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Keywords:
states fractional;
quantum hall;
fractional quantum;
anisotropic electronic ... See more keywords
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Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5008662
Abstract: In this paper, we study the following critical fractional Schrodinger equation: (−Δ)su+V(x)u=|u|2s*−2u+λf(x,u), x∈RN, where λ > 0, 0 2s, 2s*=2NN−2s, (−Δ)s denotes the fractional Laplacian of order s, and f is a continuous superlinear but subcritical…
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Keywords:
ground;
fractional schr;
states fractional;
ground states ... See more keywords