Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic Schroedinger equations and applications to Ehrenfest-type
  theorems   We study stochastic evolution equations describing the dynamics of open
quantum systems. First, using resolvent approximations, we obtain a sufficient
condition for regularity of solutions to linear stochastic Schroedinger
equations driven by cylindrical Brownian motions applying to many physical
systems. Then, we establish well-posedness and norm conservation property of a
wide class of open quantum systems described in position representation.
Moreover, we prove Ehrenfest-type theorems that describe the evolution of the
mean value of quantum observables in open systems. Finally, we give a new
criterion for existence and uniqueness of weak solutions to non-linear
stochastic Schroedinger equations. We apply our results to physical systems
such as fluctuating ion traps and quantum measurement processes of position.

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The categories of this paper are: astro-ph
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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: nucl-ex
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The categories of this paper are: nlin
10
The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci