Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact time-dependent decoherence factor and its adiabatic classical
  limit   The present paper finds the complete set of exact solutions of the general
time-dependent dynamical models for quantum decoherence, by making use of the
Lewis-Riesenfeld invariant theory and the invariant-related unitary
transformation formulation. Based on this, the general explicit expression for
the decoherence factor is then obtained and the adiabatic classical limit of an
illustrative example is discussed. The result (i.e., the adiabatic classical
limit) obtained in this paper is consistent with what obtained by other
authors, and futhermore we obtain the more general results concerning the
time-dependent non-adiabatic quantum decoherence. It is shown that the
invariant theory is appropriate for treating both the time-dependent quantum
decoherence and the geometric phase factor.

4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int