Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Configuration interaction matrix elements for the quantum Hall effect   We derive analytic expressions for the two-body matrix elements in finite
spherical quantum Hall systems in terms of a general scalar interaction
expressed as a sum over Legendre polynomials, and we derive the corresponding
pair pseudopotentials from these matrix elements. The relationship between the
effective spatial potential and the pseudopotential is one-to-one in this
framework, and we show how any complete model pseudopotential can be
analytically inverted to give a unique corresponding spatial potential. As an
example, we find the spatial potential that produces a harmonic pseudopotential
and verify that it fails to break the angular momentum degeneracy of the
many-body quantum Hall system. We also include additional examples to
demonstrate the use of the inversion technique.

20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess