Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Highly Accurate Analytic Presentation of Solution of the Schr\"{o}dinger
  Equation   High-precision approximate analytic expressions for energies and wave
functions are found for arbitrary physical potentials. The Schr\"{o}dinger
equation is cast into nonlinear Riccati equation, which is solved analytically
in first iteration of the quasi-linearization method (QLM). The zeroth
iteration is based on general features of the exact solution near the
boundaries. The approach is illustrated on the Yukawa potential. The results
enable accurate analytical estimates of effects of parameter variations on
physical systems.

27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
18
The categories of this paper are: econ
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th