Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit summation of the constituent WKB series and new approximate
  wave functions   The independent solutions of the one-dimensional Schr\"odinger equation are
approximated by means of the explicit summation of the leading constituent WKB
series. The continuous matching of the particular solutions gives the uniformly
valid analytical approximation to the wave functions. A detailed numerical
verification of the proposed approximation is performed for some exactly
solvable problems arising from different kinds of potentials.

21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat