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CAN THE GROUND STATE OF A MANY-ELECTRON SYSTEM BE DESCRIBED BY THE PARTICLE DENSITY.

N. H. March, J.C. Stoddart

Published Oct 31, 1971• 0 citations
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EXPLICIT EXPRESSIONS OF THE ONE-PARTICLE SUsub3sub 3sub3-INVARIANT DENSITY MATRIX FOR GROUND SUsub3sub 3sub3 CONFIGURATIONS OF NUCLEI.
The most robust fractional quantum Hall states occur in the lowest Landau level at filling factors, 1/3 and 1/5. Such states are very well described by Laughlin's wave function. In this work, we have succeeded in calculating exactly the one-particle density function of the Laughlin states for some finite systems of particles in a disk geometry. The exact results we provide are not only important for the Laughlin states, but also for the general field of numerical calculations because they can serve as benchmarks to test the accuracy of various approaches, numerical schemes and computational methods used in studies of strongly correlated electronic systems.