Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Further Representations of the Canonical Commutation Relations   We construct a new class of representations of the canonical commutation
relations, which generalizes previously known classes. We perturb the
infinitesimal generator of the initial Fock representation (i.e. the free
quantum field) by a function of the field which is square-integrable with
respect to the associated Gaussian measure. We characterize which such
perturbations lead to representations of the canonical commutation relations.
We provide conditions entailing the irreducibility of such representations,
show explicitly that our class of representations subsumes previously studied
classes, and give necessary and sufficient conditions for our representations
to be unitarily equivalent, resp. quasi-equivalent, with Fock, coherent or
quasifree representations.

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The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph