Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operator Separation Of Variables For Adiabatic Problems In Quantum And
  Wave Mechanics   We study linear problems of mathematical physics in which the adiabatic
approximation is used in the wide sense. Using the idea that all these problems
can be treated as problems with operator-valued symbol, we propose a general
regular scheme of adiabatic approximation based on operator methods. This
scheme is a generalization of the Born-Oppenheimer and Maslov methods, the
Peierls substitution, etc. The approach proposed in this paper allows one to
obtain "effective" reduced equations for a wide class of states inside terms
(i.e., inside modes, subregions of dimensional quantization, etc.) with the
possible degeneration taken into account.

25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc