Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A study of periodic potentials based on quadratic splines   We discuss a method based on a segmentary approximation of solutions of the
Schr\"odinger by quadratic splines, for which the coefficients are determined
by a variational method that does not require the resolution of complicated
algebraic equations. The idea is the application of the method to one
dimensional periodic potentials. We include the determination of the
eigenvalues up to a given level, and therefore an approximation to the lowest
energy bands. We apply the method to concrete examples with interest in physics
and discussed the numerical errors.

23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga