Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Painlev\'e Equations: from Continuous to Discrete   We examine quantum extensions of the continuous Painlev\'e equations,
expressed as systems of first-order differential equations for non-commuting
objects. We focus on the Painlev\'e equations II, IV and V. From their
auto-B\"acklund transformations we derive the contiguity relations which we
interpret as the quantum analogues of the discrete Painlev\'e equations.

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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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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: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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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: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int