Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Metastable states, the adiabatic theorem and parity violating geometric
  phases I   A system of metastable plus unstable states is discussed. The mass matrix
governing the time development of the system is supposed to vary slowly with
time. The adiabatic limit for this case is studied and it is shown that only
the metastable states obtain the analogs of the dynamical and geometrical phase
factors familiar from stable states. Abelian and non-abelian geometric phase
factors for metastable states are defined.

23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg