Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Simple Solution of the Time-Independent Schrodinger Equation in One
  Dimension   We found a simple procedure for the solution of the time - independent
Schrodinger equation in one dimension without making any approximation. The
wave functions are always periodic. Two difficulties may be encountered: one is
to solve the equation E=U(x), where E and U(x) are the total and potential
energies, respectively, and the other is to calculate the integral of the
square root of U(x). If these calculations cannot be made analytically, it
should then be performed by numerical methods. To find the energy and the wave
function of the ground state, there is no need to calculate this integral, it
is sufficient to find the classical turning points, that is to solve the
equation E=U(x).

4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph