English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this work we studied the properties of a two-dimensional electronic gassubjected to a strong magnetic field and cooled at a low temperature. Wereported exact analytical results of energies at the ground state. The resultsare for systems up to $N_{e}=10$ electrons calculated in the integer quantumHall effect (IQHE) regime at the filling factor $\upsilon=1$. To accomplish thecalculation we used the complex polar coordinates method. Note that the systemof electrons in the quantum Hall regime relied heavily on the disk geometry forfinite systems of electrons with arbitrary values of $N_{e}=2$ to $10$particles. The results that we obtained by analytical calculations are in goodagreement with those reported by Ciftja [Ciftja O., J. Math. Phys., 2011, 52,122105], where the representation for certain integrals of products of Besselfunctions is obtained. In the end, we have studied the composite fermionsenergies for the excited states for several systems at $\upsilon =1/3$ and thecorrespondence between the fractional quantum Hall effect (FQHE) and the IQHE.

Analytic results of the excited electronic states at $\upsilon=1/3$ and the Laughlin-Jain microscopic wave function approaches