Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Feynman path integrals for magnetic Schr\"odinger operators on infinite
  weighted graphs   We prove a Feynman path integral formula for the unitary group $
\exp(-itL_{v,\theta})$, $t\geq 0$, associated with a discrete magnetic
Schr\"odinger operator $L_{v,\theta}$ on a large class of weighted infinite
graphs. As a consequence, we get a new Kato-Simon estimate $$
|\exp(-itL_{v,\theta})(x,y)|\leq \exp(-tL_{-\mathrm{deg},0})(x,y), $$ which
controls the unitary group uniformly in the potentials in terms of a
Schr\"odinger semigroup, where the potential $\mathrm{deg}$ is the weighted
degree function of the graph.

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The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: physics
1
The categories of this paper are: cs
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The categories of this paper are: alg-geom