Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Feynman-Kac formula for magnetic monopoles   We consider the quantum mechanics of a charged particle in the presence of
Dirac's magnetic monopole. Wave functions are sections of a complex line bundle
and the magnetic potential is a connection on the bundle. We use a continuum
eigenfunction expansion to find an invariant domain of essential
self-adjointness for the Hamiltonian. This leads to a proof of the a
Feynman-Kac formula expressing solutions of the imaginary time Schrodinger
equation as stochastic integrals.

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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: acc-phys