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- W2059968753 abstract "We determine some particular values of the noncommutativity parameter θ and show that the Murthy–Shankar approach is in fact a particular case of a more general one. Indeed, using the fractional quantum Hall effect (FQHE) experimental data, we give a measurement of θ. This measurement can be obtained by considering some values of the filling factor ν and other ingredients, magnetic field B and electron density ρ. Moreover, it is found that θ can be quantized either fractionally or integrally in terms of the magnetic length l 0 and the quantization is exactly what Murthy and Shankar formulated recently for the FQHE. On the other hand, we show that the mapping of the FQHE in terms of the composite fermion basis has a noncommutative geometry nature and therefore there is a more general way than the Murthy–Shankar method to do this mapping." @default.
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- W2059968753 date "2003-07-10" @default.
- W2059968753 modified "2023-09-25" @default.
- W2059968753 title "Noncommutativity Parameter and Composite Fermions" @default.
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- W2059968753 doi "https://doi.org/10.1142/s0217732303011393" @default.
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