The Dunkl-Pauli oscillator in an Aharonov-Bohm flux has its allowed states constrained by a compatibility relation ν1 + ε ν2 = 0, producing a lowest angular number ℓ0 that governs the low-temperature thermodynamics including a Schottky anomaly.
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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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Thermodynamic Properties of the Dunkl-Pauli Oscillator in an Aharonov-Bohm Flux
The Dunkl-Pauli oscillator in an Aharonov-Bohm flux has its allowed states constrained by a compatibility relation ν1 + ε ν2 = 0, producing a lowest angular number ℓ0 that governs the low-temperature thermodynamics including a Schottky anomaly.
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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.