Analytical calculation for N≤7 shows composite fermion wavefunction yields lower two-quasiparticle excitation energy per particle than Laughlin, with the difference decreasing as system size increases.
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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.
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New exact analytical results for two quasiparticle excitation in the fractional quantum Hall effect
Analytical calculation for N≤7 shows composite fermion wavefunction yields lower two-quasiparticle excitation energy per particle than Laughlin, with the difference decreasing as system size increases.
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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.