Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Klein-Gordon lower bound to the semirelativistic ground-state energy   For the class of attractive potentials V(r) <= 0 which vanish at infinity, we
prove that the ground-state energy E of the semirelativistic Hamiltonian
  H = \sqrt{m^2 + p^2} + V(r) is bounded below by the ground-state energy e of
the corresponding Klein--Gordon problem
  (p^2 + m^2)\phi = (V(r) -e)^2\phi. Detailed results are presented for the
exponential and Woods--Saxon potentials.

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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom