Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Time evolution and adiabatic approximation in $PT$-symmetric quantum
  mechanics   In this paper, we discuss time evolution and adiabatic approximation in
$PT$-symmetric quantum mechanics. we give the time evolving equation for a
class of $PT$-symmetric Hamiltonians and some conditions of the adiabatic
approximation for the class of $PT$-symmetric Hamiltonians.

36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat