Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutativity Parameter and Composite Fermions   We determine some particular values of the noncommutativity parameter \theta
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 \theta. This measurement can be
obtained by considering some values of the filling factor \nu and other
ingredients, magnetic field B and electron density \rho. Moreover, it is found
that \theta 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.

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The categories of this paper are: funct-an
1
The categories of this paper are: cs
3
The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
13
The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int