Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hybrid Quantum-Classical Master Equations   We discuss hybrid master equations of composite systems which are hybrids of
classical and quantum subsystems. A fairly general form of hybrid master
equations is suggested, its consistency is derived from the consistency of
Lindblad quantum master equations. We emphasize that quantum measurement is a
natural example of exact hybrid systems. We derive a heuristic hybrid master
equation of time-continuous position measurement

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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom