Analytic ground-state energies for N≤10 electrons at ν=1 and excited-state composite-fermion energies at ν=1/3 are obtained via complex polar coordinates and compared with prior numerical work.
Thus, any state in the lowest Landau level (LLL) is given by a polynomial equation dependent only onz
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Analytic results of the excited electronic states at $\upsilon=1/3$ and the Laughlin-Jain microscopic wave function approaches
Analytic ground-state energies for N≤10 electrons at ν=1 and excited-state composite-fermion energies at ν=1/3 are obtained via complex polar coordinates and compared with prior numerical work.