Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Nonlocal Approach to The Quantum Kolmogorov Backward Equation and
  Links to Noncommutative Geometry   The Accardi-Boukas quantum Black-Scholes equation can be used as an
alternative to the classical approach to finance, and has been found to have a
number of useful benefits. The quantum Kolmogorov backward equations, and
associated quantum Fokker-Planck equations, that arise from this general
framework, are derived using the Hudson-Parthasarathy quantum stochastic
calculus. In this paper we show how these equations can be derived using a
nonlocal approach to quantum mechanics. We show how nonlocal diffusions, and
quantum stochastic processes can be linked, and discuss how moment matching can
be used for deriving solutions.

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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int