Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Feynman-Kac Formula for Unbounded Semigroups   We prove a Feynman-Kac formula for Schrodinger operators with potentials V(x)
that obey (for all \epsilon > 0): V(x) \geq - \epsilon |x|^2 - C_\epsilon. Even
though e^{-tH} is an unbounded operator, any \phi, \psi \in L^2 with compact
support lie in D(e^{-tH}) and <\phi, e^{-tH}\psi> is given by a Feynman-Kac
formula.

4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an