Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Associated Lame and various other new classes of elliptic potentials
  from sl(2,R) and related orthogonal polynomials   Using representations of sl(2,R) generators which yield associated Lame
Hamiltonians we obtain new classes of elliptic potentials. We explicitly
calculate eigenvalues and spectra for these potentials and construct the
associated orthogonal polynomials. We show that in the proper limit these
potentials reduce to well-known exactly solvable potentials.

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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat