Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anisotropic Quantum Hall Matrix Model   We consider the anisotropic effect in the quantum Hall systems by applying a
confining potential that is not of parabolic type. This can be done by
extending Susskind--Polychronakos's approach to involve the matrices of two
coupled harmonic oscillators. Starting from its action, we employ a unitary
transformation to diagonalize the model. The operators for building up the
anisotropic ground state and creating the collective excitations can be
constructed explicitly. Evaluating the area of the quantum Hall droplet, we
obtain the corresponding filling factor which is found to depend on the
anisotropy parameter and to vary with the magnetic field strength. This can be
used to obtain the observed anisotropic filling factors, i.e. {9\over 2},
{11\over 2} and others.

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The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: math
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an